Question

B is 4/3 times as efficient as A. If A can complete 5/8^th of a given task in 15 days, what fraction of the same task would remain incomplete if B works on it independently for 10 days ?
1. 44.44%
2. 58.33%
3. 42%
4. 50%

Answer 1

Correct Answer - Option 1 : 44.44%

Given:

B is 4/3 times as efficient as A. If A can complete 5/8th of a given task in 15 days.

Concept used:

Time and work

Calculation:

B is 4/3 times as efficient as A 

Efficiency of A : B = 3 : 4

Time of A : B = 4 : 3

A can complete 5/8^th of a given task in 15 days

So, A completes whole task in 24 days.

4 unit = 24 days

3 unit = 18 days.

B works on it independently for 10 days.

so work remaining = 8 days

Remaining work = (8/18) × 100 = 44.44%