Arithmetic Ability
Time and Work

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Q.

A is 3 times faster than B. If A can finish a work 32 days less than that of B, find the number of days need to finish the work if both are working together?

View Answer

Correct choice: A

Explanation:

It is given that efficiency ratio =3:1 so time ratio will be 1:3 (since work is same) Also given that time diff = 32 days. ratio difference = 3-1 =2 2 ratio = 32 days 1 ratio = 16 days. So A will alone finish it in 16 days and B will finish it in 16*3 = 48 days. Total work = LCM of 16 and 48 = 48. Total time = Total work/Total efficiency ie; 48/4= 12 days.
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