A,B,C together can complete work in 75% less time than D,while C alone tales 37.5% more A,B,D together if C alone can finish the work in 118 days In how many days C and D together will complete 80% of work
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Efficiency is inversely proportional to the number of days needed to do the work.
More efficiency means less number of days needed to complete the work.
If efficiency of A is 100, then efficiency of B is 20% more that is 120.
The ratios of efficiency of A and B is
⇒
B
A
(efficiency) =
120
100
=
6
5
A completes the work in 18 days and let B complete the work in x days.
The ratio of number of days needed to complete the work by A and B is,
⇒
B
A
(days) =
x
18
Now efficiency is inversely proportional to number of days so
B
A
is
⇒
6
5
=
18
x
⇒ 6×x=5×18
⇒ x=15 days
⇒ B would complete the work in 15 days.
hope it helps you !!:)
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