Question

If A is 50% more efficient than B and C is 25% less efficient than B, then what is the ratio of the work done by A, B and C?

Answer 1

Answer:

Let total work be W.

Let the speed of B be x work/day.

Since, A is 50% as efficient as B.∴ the speed of A is

2

x

work/day.

Let the speed of C be z work/day.

Since, C does half of the work done by A and B together.

∴z=

2

1

×(

2

x

+x)......(1)

Also, C alone does the work in 40 day.

∴

z

W

=40.............(2)

∴ A,B and C together can do the work in

(

2

x

+x+z)

W

days.

From (1) and (2), we have

(

2

x

+x+z)

W

days =

3z

40z

=13

3

1

days