Question 152

A and B together can complete a particular task in 6 days. If A alone can complete the same task in 10 days, how many days will B take to complete the task if he works alone ?

Solution

Let the total work to be done = 30 units

Rate at which A alone finishes the task = $$\frac{30}{10}$$ = 3 units/day

Rate at which A & B together finishes the work = $$\frac{30}{6}$$ = 5 units/day

=> Rate at which B alone finishes the work = 5 - 3 = 2 units/day

$$\therefore$$ Time taken by B to complete the task = $$\frac{30}{2}$$ = 15 days

Share on Whatsapp Share on Whatsapp

Create a FREE account and get: