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Question Paper from: IBPS Clerk Prelims 2016

A is 2.5 times as good workman as B and A is able to finish the work in 50 days less than B. Find the time in which they can do it working together.

$21 \frac{18}{19} d a ys$

$23 \frac{17}{21} d a ys$

$22 \frac{6}{7} d a ys$

$20 \frac{3}{4} d a ys$

$25 \frac{1}{4} d a ys$

Solution:

Chapter Name: Time and Work

Let B’s 1 day work = $\frac{1}{x}$

∴ A’s 1 day work = $\frac{1}{x}$ $\times$ $\frac{5}{2}$

Now, $\frac{2 x}{5}$ = x − 50

$\frac{3 x}{5}$ = 50

x = $\frac{250}{3}$

∴ Required days

$\frac{1}{\frac{3}{250} + \frac{3}{100}}$

$\frac{500}{6 + 15}$

$23 \frac{17}{21}$

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IBPS Clerk Prelims 2016

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