Question 91

Manoj can do a piece of work in 42 hours. If he is joined by Jayashree who is 100% more efficient, in what time they will finish the work together?

Solution

Let total work to be done = 42 units

Manoj's efficiency = $$\frac{42}{42} = 1$$ unit/hr

Jayashree is 100% more efficient, => Jayashree's efficiency = $$1 + \frac{100}{100} \times 1 = 2$$ units/hr

(Manoj + Jayashree)'s 1 day's work together = 1 + 2 = 3 units/hr

$$\therefore$$ Time taken by Manoj and Jayashree together to finish the work = $$\frac{42}{3} = 14$$ hours

=> Ans - (C)

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