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A and B working together can complete a job in 30 days.The ratio of their efficiencies is 3:2 .In how many days can the faster person complete the job


Simran 9th Jan, 2020
Answer (1)
KUNAL LANJEWAR 14th Jan, 2020

Hello,

The efficiencies of work done by A and B are in the ratio 3 : 2

So, the work done by A in x days will be 5x / 3

and the work done by B in x days will be 5x / 2

Given that A and B together complete the work in 30 days.

The efficiency of A to that of B is in the ratio 3:2, that means A is the fastest person.

So, as concluded above, A can complete the work in 5x / 3 days

For 30 days, x = 30

So, A can complete the work in 5 x 30 / 3 days

So, A can complete the work in 50 days.

So, In 50 days, the faster person can complete the job.

Best Wishes.

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