Question 84

Akhilesh is two times as good a workman as Bansi and therefore is able to finish a job in 39 days less than Bansi. Working together, they can do it in

Solution

Ratio of times taken by Akhilesh and Bansi = 1 : 2

The time difference is (2 - 1) 1 day while Bansi take 2 days and Akhilesh takes 1 day.

If difference of time is 1 day, Bansi takes 2 days.

If difference of time is 39 days, Bansi takes = $$\frac{2}{1} \times 39 = 78$$ days

So, Akhilesh takes 39 days

Akhilesh's 1 day's work = $$\frac{1}{39}$$

Bansi's 1 day's work = $$\frac{1}{78}$$

(Akhilesh + Bansi)'s 1 day's work together = $$\frac{1}{39} + \frac{1}{78} = \frac{3}{78} = \frac{1}{26}$$

$$\therefore$$ Akhilesh and Bansi together can do the work in = 26 days

=> Ans - (C)


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