Question

A does alone a work in 4 days. B does alone a work in 8 days. In how many days the work will be completed if A & B work together?

Answer 1

let the whole part of the work be 1
In 4 days, A can do 1 work
In 1 day, A can do 1/4 work

In 8 days, B can do 1 work
In 1 day, B can do 1/8 work

In 1 day, both A and B can do = (1/4)+(1/8) work =3/8 work

3/8 work in 1 day
1 work in =8/3 days

Answer=8/3 days

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Answer 2

Answer:

In, 8/3 days, or approximately 2.67 days A and B working together can complete the work.

Step-by-step explanation:

Let us assume that the total work to be done is equal to 1. Then, we can use the concept of work and time to find the time taken by A and B to complete the work together.

The work done by A in one day is 1/4, and the work done by B in one day is 1/8. When they work together, their work rates are added up. Therefore, the work done by A and B in one day is:

1/4 + 1/8 = 3/8

This means that A and B together can complete 3/8th of the work in one day. To find the number of days required to complete the entire work, we can use the formula:

Time = Work / Rate

Time = 1 / (3/8) = 8/3

Therefore, A and B working together can complete the work in 8/3 days, or approximately 2.67 days.

This concept of work and time is important in many areas, including project management and scheduling, manufacturing, and production planning.

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