Question

A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in

20.4 days
22.5 days
25.6 days
30.1 days

Answer 1

**22.5 days is the answer*

Let's assume that B can do the job alone in x days.

Then, according to the question, A can do the same job alone in (1/3)x days.

Also, we know that A takes 60 days less than B to finish the job, so:

(1/3)x = x - 60

Solving for x, we get:

x = 90

Therefore, B can do the job alone in 90 days and A can do the same job alone in (1/3) * 90 = 30 days.

To find out how long they take to finish the job together, we use the formula:

(AB)/ (A+B)

where AB is the product of their individual times and A+B is their combined time.

Plugging in the values, we get:

(30 * 90)/(30+90) = 22.5

Therefore, working together, they can finish the job in 22.5 days.

Answer: Option B - 22.5 days