A Certain sum of money is sufficient to pay either George's wage for 15 days or Mark's wages for 10 days. For how long will it be sufficient if both George and Mark work together ?



A Certain sum of money is sufficient to pay either George's wage for 15 days or Mark's wages for 10 days. For how long will it be sufficient if both George and Mark work together ?

A. 5

B. 6

C. 8

D. 9

Answer : B. 6


Explanation:


    The money can pay George's wage for 15 days
    1 Day = 1/15 of the money

    The money can pay Mark's wage 10 for days
    1 Day = 1/10 of the money

    Find the Amount of money needed if both of them worked together:
    1 Day = 1/15 + 1/10
    = 1/6 of the money

    Number of days the money can last:
    1/6 of the money = 1 day
    6/6 of the money = 1 x 6
    = 6 days


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