Question

B किसी काम को जितने समय में करता है उसके 1/6 समय में A आधा
काम करता है, यदि काम को पूरा करने के लिए दोनों को कुल 10 दिन
लगते हैं, तो B अकेला उस काम को कितने समय में करेगा?
s.s.C. स्नातक स्तरीय परीक्षा, 2001, 02​

Answer 1

Step-by-step explanation:

Given A does half as much work as B in 1/6 th of the time. If they take 10 days to complete the work together, how much time shall B alone take to do it?

Let the time taken by B alone to complete the work be m days.

Now time taken by A to complete half of the work will be m / 6 days.

So work done by A for one day = 1/2 x 6 / m = 3 / m

Therefore work done by B for one day will be 1/m

So total will be 3/m + 1/m = 1/10

                            4 / m = 1/10

                         Or m = 40 days.

So B alone will do the work in 40 days