time and distance problems - Wikitechy https://www.wikitechy.com/interview-questions/tag/time-and-distance-problems/ Interview Questions Tue, 07 Sep 2021 05:35:43 +0000 en-US hourly 1 https://wordpress.org/?v=6.9 https://www.wikitechy.com/interview-questions/wp-content/uploads/2025/10/cropped-wikitechy-icon-32x32.png time and distance problems - Wikitechy https://www.wikitechy.com/interview-questions/tag/time-and-distance-problems/ 32 32 A man sitting on a train travelling at the rate of 50 km/hr observes that it takes 9 sec for goods train travelling in the opposite direction to pass him. If the goods train is 187.5m long. Find its speed ? https://www.wikitechy.com/interview-questions/time-and-distance/a-man-sitting-on-a-train-travelling-at-the-rate-of-50-km-hr-observes-that-it-takes-9-sec-for-goods-train-travelling-in-the-opposite-direction-to-pass-him-if-the-goods-train-is-187-5m-long-find-its-s/ https://www.wikitechy.com/interview-questions/time-and-distance/a-man-sitting-on-a-train-travelling-at-the-rate-of-50-km-hr-observes-that-it-takes-9-sec-for-goods-train-travelling-in-the-opposite-direction-to-pass-him-if-the-goods-train-is-187-5m-long-find-its-s/#respond Tue, 17 Aug 2021 21:35:54 +0000 https://www.wikitechy.com/interview-questions/?p=1968

A man sitting on a train travelling at the rate of 50 km/hr observes that it takes 9 sec for goods train travelling in the opposite direction to pass him. If the goods train is 187.5m long. Find its speed ?

A. 40 km/hr

B. 30 km/hr

C. 24 km/hr

D. 25 km/hr

Answer : C. 24 km/hr

Explanation :

Let the speed of goods train be x km/hr.
Then, (50 + x) * ( 5 / 18 ) = 187.5 / 9
⇒ x = 25 km/hr.

]]> https://www.wikitechy.com/interview-questions/time-and-distance/a-man-sitting-on-a-train-travelling-at-the-rate-of-50-km-hr-observes-that-it-takes-9-sec-for-goods-train-travelling-in-the-opposite-direction-to-pass-him-if-the-goods-train-is-187-5m-long-find-its-s/feed/ 0 A cyclist drove one kilometre, with the wind in his back, in three minutes and drove the same way back, against the wind in four minutes. If we assume that the cyclist always puts constant force on the pedals, how much time would it take him to drive one kilometre without wind ? https://www.wikitechy.com/interview-questions/time-and-distance/a-cyclist-drove-one-kilometre-with-the-wind-in-his-back-in-three-minutes-and-drove-the-same-way-back-against-the-wind-in-four-minutes-if-we-assume-that-the-cyclist-always-puts-constant-force-on-th/ https://www.wikitechy.com/interview-questions/time-and-distance/a-cyclist-drove-one-kilometre-with-the-wind-in-his-back-in-three-minutes-and-drove-the-same-way-back-against-the-wind-in-four-minutes-if-we-assume-that-the-cyclist-always-puts-constant-force-on-th/#respond Tue, 17 Aug 2021 21:34:46 +0000 https://www.wikitechy.com/interview-questions/?p=1967

A cyclist drove one kilometre, with the wind in his back, in three minutes and drove the same way back, against the wind in four minutes. If we assume that the cyclist always puts constant force on the pedals, how much time would it take him to drive one kilometre without wind ?

A. 7/3 min

B. 24/7 min

C. 17/7 min

D. 43/12 min

Answer : B. 24/7 min

Explanation :

  • Let the speed of the cyclist be ‘x’ km/h and wind be ‘y’ km/h.
    1 / (x + y) = 3/60
    ⇒ x + y = 20 ——–> (i)
    And, 1 / (x − y) = 4/60
    ⇒ x − y = 15 ——–> (ii)
  • On solving both the equations we get:
    x = 35/2
    y = 5/2
  • Now, time taken by cyclist without wind:
    = 2/35 × 60
    = 24/7 min
]]> https://www.wikitechy.com/interview-questions/time-and-distance/a-cyclist-drove-one-kilometre-with-the-wind-in-his-back-in-three-minutes-and-drove-the-same-way-back-against-the-wind-in-four-minutes-if-we-assume-that-the-cyclist-always-puts-constant-force-on-th/feed/ 0 A car travels first half distance between two places with a speed of 40 km/hr and rest of the half distance with a speed of 60 km/hr. The average speed of the car is ? https://www.wikitechy.com/interview-questions/time-and-distance/a-car-travels-first-half-distance-between-two-places-with-a-speed-of-40-km-hr-and-rest-of-the-half-distance-with-a-speed-of-60-km-hr-the-average-speed-of-the-car-is/ https://www.wikitechy.com/interview-questions/time-and-distance/a-car-travels-first-half-distance-between-two-places-with-a-speed-of-40-km-hr-and-rest-of-the-half-distance-with-a-speed-of-60-km-hr-the-average-speed-of-the-car-is/#respond Tue, 17 Aug 2021 21:33:17 +0000 https://www.wikitechy.com/interview-questions/?p=1966

A car travels first half distance between two places with a speed of 40 km/hr and rest of the half distance with a speed of 60 km/hr. The average speed of the car is ?

A. 48 km/hr

B. 37 km/hr

C. 44 km/hr

D. 45 km/hr

Answer : A. 48 km/hr

Explanation :

Let the total distance covered be S km.
Total time taken= S / (2 × 40) + S / (2 × 60)
= 5S / 240 hr
Average speed = S × ( 240/ 5S )
= 48 km/hr

]]> https://www.wikitechy.com/interview-questions/time-and-distance/a-car-travels-first-half-distance-between-two-places-with-a-speed-of-40-km-hr-and-rest-of-the-half-distance-with-a-speed-of-60-km-hr-the-average-speed-of-the-car-is/feed/ 0 A and B are two cars travelling to a destination which is 360 kilometres away. A takes 4 hours to reach the destination. How much time will it take B to reach the destination if the speeds of A and B are in the ratio 9: 12 ? https://www.wikitechy.com/interview-questions/time-and-distance/a-and-b-are-two-cars-travelling-to-a-destination-which-is-360-kilometres-away-a-takes-4-hours-to-reach-the-destination-how-much-time-will-it-take-b-to-reach-the-destination-if-the-speeds-of-a-and-b/ https://www.wikitechy.com/interview-questions/time-and-distance/a-and-b-are-two-cars-travelling-to-a-destination-which-is-360-kilometres-away-a-takes-4-hours-to-reach-the-destination-how-much-time-will-it-take-b-to-reach-the-destination-if-the-speeds-of-a-and-b/#respond Tue, 17 Aug 2021 21:19:07 +0000 https://www.wikitechy.com/interview-questions/?p=1964

A and B are two cars travelling to a destination which is 360 kilometres away. A takes 4 hours to reach the destination. How much time will it take B to reach the destination if the speeds of A and B are in the ratio 9: 12 ?

A. 2.5 hrs

B. 3.5 hrs

C. 4.5 hrs

D. 3 hrs

Answer : D. 3 hrs

Explanation :

9x/12x = 9/12
Time = Distance / Speed
4 = 360/9x
so x = 10
12x = 120
Time taken by car b = 360/120 =3 hour

]]> https://www.wikitechy.com/interview-questions/time-and-distance/a-and-b-are-two-cars-travelling-to-a-destination-which-is-360-kilometres-away-a-takes-4-hours-to-reach-the-destination-how-much-time-will-it-take-b-to-reach-the-destination-if-the-speeds-of-a-and-b/feed/ 0 Dustin is driving his car at speed of 50 kilometres per hour. He going to Texas which is located 345 kilometres from his starting point. How long will it take him to reach Texas https://www.wikitechy.com/interview-questions/time-and-distance/dustin-is-driving-his-car-at-speed-of-50-kilometres-per-hour-he-going-to-texas-which-is-located-345-kilometres-from-his-starting-point-how-long-will-it-take-him-to-reach-texas/ https://www.wikitechy.com/interview-questions/time-and-distance/dustin-is-driving-his-car-at-speed-of-50-kilometres-per-hour-he-going-to-texas-which-is-located-345-kilometres-from-his-starting-point-how-long-will-it-take-him-to-reach-texas/#respond Tue, 17 Aug 2021 21:14:29 +0000 https://www.wikitechy.com/interview-questions/?p=1963

Dustin is driving his car at speed of 50 kilometres per hour. He going to Texas which is located 345 kilometres from his starting point. How long will it take him to reach Texas ?

A. 70

B. 71

C. 72

D. 69

Answer : D. 69

]]> https://www.wikitechy.com/interview-questions/time-and-distance/dustin-is-driving-his-car-at-speed-of-50-kilometres-per-hour-he-going-to-texas-which-is-located-345-kilometres-from-his-starting-point-how-long-will-it-take-him-to-reach-texas/feed/ 0 The speed of the train is 49kmph crosses the pole in 7 second. Find the distance. https://www.wikitechy.com/interview-questions/problems-on-trains/the-speed-of-the-train-is-49kmph-crosses-the-pole-in-7-second-find-the-distance/ https://www.wikitechy.com/interview-questions/problems-on-trains/the-speed-of-the-train-is-49kmph-crosses-the-pole-in-7-second-find-the-distance/#respond Tue, 17 Aug 2021 15:17:29 +0000 https://www.wikitechy.com/interview-questions/?p=1801

The speed of the train is 49kmph crosses the pole in 7 second. Find the distance.

Answer : 95.28

Explanation:

Speed=49*5/18 m/sec
Distance=speed*time
Distance=49*5/18*7=95.28
Therefore the distance is 95.28

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