Question 89

Amal is 5 times as good a workman as Bhairav and therefore is able to finish a job in 48 days less than Bhairav. Working together, they can do it in

Solution

Ratio of times taken by Amal and Bhairav = 1 : 5

The time difference is (5 - 1) = 4 days while Bhairav takes 5 days and Amal takes 1 day.

If difference of time is 4 days, Bhairav takes 5 days.

If difference of time is 48 days, Bhairav takes = $$\frac{5}{4} \times 48 = 60$$ days

=> Amal takes 12 days

Amal's 1 day's work = $$\frac{1}{12}$$

Bhairav's 1 day's work = $$\frac{1}{60}$$

=> (Amal + Bhairav)'s 1 day's work = $$\frac{1}{12} + \frac{1}{60} = \frac{6}{60} = \frac{1}{10}$$

$$\therefore$$ Amal and Bhairav together can do the work in 10 days.


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