Question

A Is thrice as good a work man as
B. If together they can complete
a task in 12 days, in how many
days can A alone complete it?

Answer 1

Answer:

5days A alone can complete a task in 5dayd

Answer 2

Given:

The time required by A and B to complete the work is 12 days.

To find:

The time in which A can complete the work.

Solution:

Let us take X as the efficiency of B.

Efficiency of A =3 × B's efficiency

Efficiency of A = 3 X

Efficiency of A and B = X+ 3 X = 4 X

The total number of days in which A and B complete the work is 12 days.

Work = efficiency × time

Total work = 4 X × 12

= 48 X

Time required by A to complete the work = Total work / Efficiency of A

= 48 X / 3 X

Time required by A to complete the work = 16

A can complete the work in 16 days.