Question 52

Ketan and Kunal can complete a job together in 7 days. Kunal is $$\frac{7}{4}$$ times as efficient as Ketan. In how many days can Kunal alone complete the job?

Solution

Kunal is $$\frac{7}{4}$$ times as efficient as Ketan.

Let's assume the efficiency of Ketan is '4y'.

efficiency of Kunal = $$\frac{7}{4}\times4y$$ = 7y

Ketan and Kunal can complete a job together in 7 days.

Total work = total time $$\times$$ efficiency of both of them together

= $$7\times(4y+7y)$$

= $$7\times11y$$

= 77y

Time taken by Kunal alone to complete the job = $$\frac{77y}{7y}$$

= 11 days

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