{"id":2092,"date":"2021-08-18T03:11:34","date_gmt":"2021-08-18T03:11:34","guid":{"rendered":"https:\/\/www.wikitechy.com\/interview-questions\/?p=2092"},"modified":"2021-09-06T05:05:32","modified_gmt":"2021-09-06T05:05:32","slug":"the-ratio-of-efficiency-of-a-is-to-c-is-53-the-ratio-of-no-of-days-taken-by-b-is-to-c-is-23-a-takes-6-days-less-than-c-when-a-and-c-completes-the-work-individually-b-and-c-left-the-work-after-2","status":"publish","type":"post","link":"https:\/\/www.wikitechy.com\/interview-questions\/time-and-work\/the-ratio-of-efficiency-of-a-is-to-c-is-53-the-ratio-of-no-of-days-taken-by-b-is-to-c-is-23-a-takes-6-days-less-than-c-when-a-and-c-completes-the-work-individually-b-and-c-left-the-work-after-2\/","title":{"rendered":"The ratio of efficiency of A is to C is 5:3. The ratio of no.of days taken by B is to C is 2:3. A takes 6 days less than C, when A and C completes the work individually. B and C left the work after 2 days. The no of days taken by A to finish the remaining work ?"},"content":{"rendered":"
\n
\n

The ratio of efficiency of A is to C is 5:3. The ratio of no.of days taken by B is to C is 2:3. A takes 6 days less than C, when A and C completes the work individually. B and C left the work after 2 days. The no of days taken by A to finish the remaining work ?<\/p>\n

\n
\n

A. 4.5<\/p>\n<\/div>\n

\n

B. 5<\/p>\n<\/div>\n

\n

C. 6<\/p>\n<\/div>\n

\n

D. 28\/3<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n

Answer :\u00a0<\/b>C. 6<\/h3>\n
\n

Explanation:<\/h2>\n<\/div>\n
\n
\n
    \n
  • \n
      \n
    • A : C\n
        \n
      • \n
          Efficiency of A and C\u00a0= 5 : 3<\/ul>\n<\/li>\n<\/ul>\n
            \n
          • \n
              The Ratio of Work done is 3 : 5 = 3x : 5x<\/ul>\n<\/li>\n<\/ul>\n
                \n
              • \n
                  Given:<\/ul>\n<\/li>\n<\/ul>\n
                    \n
                  • \n
                      Difference between A\u2019s and C\u2019s work done is 6 days so,<\/ul>\n<\/li>\n<\/ul>\n
                        \n
                      • \n
                          5x \u2013 3x\u00a0= 6<\/ul>\n<\/li>\n<\/ul>\n
                            \n
                          • \n
                              x\u00a0= 3<\/ul>\n<\/li>\n<\/ul>\n
                                \n
                              • \n
                                  Number of days taken by A = 3 * 3<\/ul>\n<\/li>\n<\/ul>\n
                                    \n
                                  • \n
                                      =<\/ul>\n<\/li>\n<\/ul>\n

                                      9 Days<\/b><\/p>\n

                                        \n
                                      • \n
                                          Number of days taken by C = 5 * 3<\/ul>\n<\/li>\n<\/ul>\n
                                            \n
                                          • \n
                                              =<\/ul>\n<\/li>\n<\/ul>\n

                                              15 Days<\/b><\/li>\n

                                            • B : C\n
                                                \n
                                              • \n
                                                  Ratio of work done of B and C = 2:3<\/ul>\n<\/li>\n<\/ul>\n
                                                    \n
                                                  • \n
                                                      As we have calculated C\u2019s total work done in 15 days so,<\/ul>\n<\/li>\n<\/ul>\n
                                                        \n
                                                      • \n
                                                          3x = 15 days<\/ul>\n<\/li>\n<\/ul>\n
                                                            \n
                                                          • \n
                                                              x = 5<\/ul>\n<\/li>\n<\/ul>\n
                                                                \n
                                                              • \n
                                                                  Therefore, Number of days taken by B = 2 * 5<\/ul>\n<\/li>\n<\/ul>\n
                                                                    \n
                                                                  • \n
                                                                      =<\/ul>\n<\/li>\n<\/ul>\n

                                                                      10 Days<\/b><\/p>\n

                                                                        \n
                                                                      • \n
                                                                          Now we have total work done by a ,b and c in 9, 10 and 15 days respectively<\/ul>\n<\/li>\n<\/ul>\n
                                                                            \n
                                                                          • \n
                                                                              Work done by B and C in initial 2 days = 2 * [ 1\/10 + 1\/15 ]<\/ul>\n<\/li>\n<\/ul>\n
                                                                                \n
                                                                              • \n
                                                                                  = 1\/3<\/ul>\n<\/li>\n<\/ul>\n
                                                                                    \n
                                                                                  • \n
                                                                                      Thus, Remaining work\u00a0= 1 \u2013 1\/3<\/ul>\n<\/li>\n<\/ul>\n
                                                                                        \n
                                                                                      • \n
                                                                                          =<\/ul>\n<\/li>\n<\/ul>\n

                                                                                          2\/3<\/b><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n

                                                                                          A do total work in 9 days so, 2\/3 work is done in (9 * 2\/3) =\u00a06 days<\/b><\/p>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

                                                                                          Answer :\u00a0C. 6<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[13928],"tags":[14025,14023,14022,14004,14026,14021,14027,10954,10957,10956,10977,10972,10984,11000,11005,10944,10945,10966,10942,10947,11012,11010,10985,10973,11014,10982,10998,10981,11015,10969,10960,10983,9747,10988,12635,10995,10993,10971,11016,10970,11004,10987,10958,11003,10974,10940,10959,9751,10980,12622,12634,10976,11002,10986,10994,10951,11009,10943,286,10946,9385,10979,10992,10949,10989,10996,9391,11007,10965,10955,11011,10964,10961,10997,10978,10963,10967,10990,11006,10941,11001,10950,10991,10975,10952,15923,14024,13191,13998,14031,14029,14030,14028,13973,13963,13962,13201,10953,11008,10948,10999,11013,10962,10968],"class_list":["post-2092","post","type-post","status-publish","format-standard","hentry","category-time-and-work","tag-a-and-b-can-do-a-piece-of-work-in-21-and-24-days-respectively","tag-a-and-b-can-do-a-piece-of-work-in-30-days","tag-a-and-b-can-do-a-piece-of-work-in-6-2-3-days-and-5-days-respectively","tag-a-and-b-can-do-a-piece-of-work-in-6-days-and-a-alone-can-do-it-in-9-days","tag-a-and-b-together-can-do-a-piece-of-work-in-12-days-which-b-and-c-together-can-do-in-16-days","tag-a-and-b-together-can-do-a-piece-of-work-in-30-days-b-and-c-together-can-do-it-in-20-days","tag-a-man-can-do-a-piece-of-work-in-60-hours","tag-adani-enterpris-interview-questions-and-answers","tag-adani-green-energy-ltd-interview-questions-and-answers","tag-adani-ports-ltd-interview-questions-and-answers","tag-adani-total-gas-ltd-interview-questions-and-answers","tag-adani-transmission-ltd-interview-questions-and-answers","tag-ambuja-cements-interview-questions-and-answers","tag-apollo-hospital-interview-questions-and-answers","tag-aurobindo-pharm-interview-questions-and-answers","tag-avenue-supermarts-ltd-interview-questions-and-answers","tag-axis-bank-interview-questions-and-answers","tag-bajaj-auto-interview-questions-and-answers","tag-bajaj-finance-interview-questions-and-answers","tag-bajaj-finserv-ltd-interview-questions-and-answers","tag-balkrishna-industries-interview-questions-and-answers","tag-bandhan-bank-interview-questions-and-answers","tag-berger-paints-interview-questions-and-answers","tag-bharat-petroleum-corporation-ltd-interview-questions-and-answers","tag-biocon-interview-questions-and-answers","tag-britannia-industries-ltd-interview-questions-and-answers","tag-cadila-health-interview-questions-and-answers","tag-coal-india-ltd-interview-questions-and-answers","tag-colgate-interview-questions-and-answers","tag-dabur-india-ltd-interview-questions-and-answers","tag-divis-labs-interview-questions-and-answers","tag-dlf-interview-questions-and-answers","tag-dr-reddys-labs-interview-questions-and-answers","tag-eicher-motors-ltd-interview-questions-and-answers","tag-find-abc","tag-gail-india-ltd-interview-questions-and-answers","tag-gland-pharma-ltd-interview-questions-and-answers","tag-godrej-consumer-products-ltd-interview-questions-and-answers","tag-godrej-properties-interview-questions-and-answers","tag-grasim-industries-ltd-interview-questions-and-answers","tag-gujarat-gas-ltd-interview-questions-and-answers","tag-havells-india-ltd-interview-questions-and-answers","tag-hdfc-life-insurance-company-ltd-interview-questions-and-answers","tag-hero-motocorp-interview-questions-and-answers","tag-hindalco-industries-ltd-interview-questions-and-answers","tag-hindustan-unilever-ltd-interview-questions-and-answers","tag-hindustan-zinc-ltd-interview-questions-and-answers","tag-icici-lombard-interview-questions-and-answers","tag-icici-prudential-life-insurance-interview-questions-and-answers","tag-if-ab-23-and-bc-45-then-abc","tag-if-ab34-and-bc67","tag-indian-oil-corporation-ltd-interview-questions-and-answers","tag-indus-towers-ltd-interview-questions-and-answers","tag-indusind-bank-interview-questions-and-answers","tag-interglobe-aviation-interview-questions-and-answers","tag-jsw-steel-interview-questions-and-answers","tag-jubilant-foodworks-ltd-interview-questions-and-answers","tag-kotak-mahindra-bank-interview-questions-and-answers","tag-lt-infotech-interview-questions-and-answers","tag-larsen-and-toubro-ltd-interview-questions-and-answers","tag-lupin-interview-questions-and-answers","tag-mm-interview-questions-and-answers","tag-marico-interview-questions-and-answers","tag-maruti-suzuki-interview-questions-and-answers","tag-motherson-sumi-systems-interview-questions-and-answers","tag-muthoot-finance-hdfc-amc-interview-questions-and-answers","tag-nestle-interview-questions-and-answers","tag-nmdc-ltd-interview-questions-and-answers","tag-ntpc-ltd-interview-questions-and-answers","tag-oil-and-natural-gas-corporation-interview-questions-and-answers","tag-pi-industries-ltd-interview-questions-and-answers","tag-pidilite-industries-interview-questions-and-answers","tag-power-grid-corporation-of-india-interview-question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