Question 95

Mayur can complete a work in 27 hours. If he is joined by Jayantika who is 100% more efficient, in what time will they together finish the work?

Solution

Let total work to be done = 54 units

Mayur's efficiency = $$\frac{54}{27} = 2$$ units/hr

Jayantika is 100% more efficient than Mayur, => Jayantika's efficiency = $$\frac{100 + 100}{100} \times 2 = 4$$ units/hr

=> Mayur and Jayantika 1 day's work = 2 + 4 = 6 units/hr

$$\therefore$$ Time taken by them to finish the work together = $$\frac{54}{6} = 9$$ hours

=> Ans - (C)


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