A can do a certain work in 15 days, while Working together, A and

A can do a certain work in 15 days, while Working together, A and
| A can do a certain work in 15 days, while Working together, A and B can do the same work in 7.5 days. How many days will B alone take to do the same work?

A. 15 days

B. 12.5 days

C. 17.5 days

D. 20 days

Please scroll down to see the correct answer and solution guide.

Right Answer is: A

SOLUTION

Given,

A can do a certain work in = 15 days

A and B can do the same work in = 7.5 days

Concept:/Formula:

Total work = Efficiency × Time Taken

Calculation:

Total work = 15

Efficiency of A and B = 2

Efficiency of A = 1

Let efficiency of B be x, then

⇒ x + 1 = 2

⇒ x = 2 – 1

⇒ x = 1

B alone can complete the whole work in = 15/1 = 15 days