Question 66

Working together, P, Q and R reap a field in 6 days. If P can do it alone in 10 days and Q in 24 days, in how many days will R alone be able to reap the field?

Solution

A/c to question ,

$$\dfrac{1}{P} + \dfrac{1}{Q} + \dfrac{1}{R} = \dfrac{1}{6}$$

$$\dfrac{1}{10} + \dfrac{1}{24} + \dfrac{1}{R} = \dfrac{1}{6}$$

$$\dfrac{1}{R} = \dfrac{1}{6}-\dfrac{1}{10}-\dfrac{1}{24} = \dfrac{3}{120}$$

$$ \dfrac{1}{R} = \dfrac{1}{40}$$

So, the answer would be option b)40 days

Share on Whatsapp Share on Whatsapp

Create a FREE account and get: