Question 68

If A had worked alone he would have taken 63 hours to do the task. What is B's share, if A and B work together on a task finishing it in 36 hours and they get paid Rs 5,950 for it?

Solution

Let say, B takes b hrs to complete the task .

So, According to question :

$$\frac{1}{b}+\frac{1}{63}=\frac{1}{36}\ .$$

or, $$\frac{1}{b}=\frac{1}{36}-\frac{1}{63}=\frac{7-4}{4\times7\times9}=\frac{1}{84}\ .$$

or, b=84 .

So, B and A will take their shares in $$63:84=3:4\ ratio\ .$$

So, B's share = $$5950\times\frac{3}{7}=2550\ .$$

C is correct choice.

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