Question

A is three times more efficient worker than B and is therefire able to complete a work in 60 days less than B. What is the number of days that A and B together will take to complete the work ?​

Answer 1

Step-by-step explanation:

The efficient ratio of A to B is 3:1. Therefore the time ratio is 1:3.

The difference in the ratio is 2, that corresponds to 60 days.

Hence A takes 30 days and B takes 90 days.

If they work together, they take 30*90/30+90 = 90/4 = 22.5 days.

Answer 2

Answer:

$\huge\underline\bold {Answer:}$

Let B complete the work in x days. Then,

A will complete the same work in x/3 days.

Given, x – x/3 = 60

=> 2x/3 = 60

=> x = 60 × 3/2 = 90 days.

Therefore A will complete the work in 30 days.

(A + B)'s 1 days' work

= 1/90 + 1/30

= 4/90

=> (A + B) will complete the whole work in 90/4

= 22.5 days.