Question 53

Kanti and Jiya together can finish a work in 3 days. If Jiya alone can finish the work in 6 days, then in how many days can Kanti alone finish the work?

Solution

Let's assume the total work is 6 units.

Kanti and Jiya together can finish a work in 3 days.

The efficiency of Kanti and Jiya together = $$\frac{6}{3}$$ = 2 units/day

If Jiya alone can finish the work in 6 days.

The efficiency of Jiya = $$\frac{6}{6}$$ = 1 unit/day

The efficiency of Kanti = 2-1 = 1 unit/day

Time taken by Kanti alone to finish the work = $$\frac{6}{1}$$

= 6 days

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