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Select the correct answerP takes twice as much time as Q or thrice as much time as R to finish a piece of work. They can finish the work in 2 Day’s if work together. How much time will Q take to do the work alone?Options5467

Question

Select the correct answerP takes twice as much time as Q or thrice as much time as R to finish a piece of work. They can finish the work in 2 Day’s if work together. How much time will Q take to do the work alone?Options5467

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Solution

The problem can be solved by using the concept of work and time.

Let's denote the amount of work done by P, Q, and R in one day as p, q, and r respectively.

According to the problem, P takes twice as much time as Q or thrice as much time as R to finish a piece of work. This means that P does half the work of Q or one third of the work of R in the same time. So, we can write:

p = 1/2 * q = 1/3 * r

The problem also states that they can finish the work in 2 days if they work together. This means that the sum of the work done by P, Q, and R in one day is half of the total work. So, we can write:

p + q + r = 1/2

Substituting the value of p from the first equation into the second equation, we get:

1/2 * q + q + 1/3 * r = 1/2

Solving this equation for q, we get:

q = 1/6

This means that Q can finish the work alone in 6 days. So, the correct answer is 6.

This problem has been solved

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