Question

36 boys can do a piece of work in 49 days.
How many extra boys should be engaged so
that the work may be finished in 21 days?​

Answer 1

Answer:

The answer is 48 boys

Workings/ Method

Step #1: Work out the total number of days to complete the piece of work. Each boy worked 49 days and there were 36 boys.

Days * Boys = Total number of days

49* 36 = 1,764

So it took a total of 1,764 days to complete the piece of work.

Step #2: Work out the total number of boys needed to finish a piece of work in 21 days.

We know Days = 21 and Total number of days = 1,764

So using:

Days * Boys = Total number of days

We get:

21 * Boys = 1,764

Use simple algebra to rearrange and find the number of boys.

Boys = 1,764/ 21 = 84

So 84 boys needed to finish a piece of work in 21 days.

Step #3: Work out how many extra boys would be needed.

84 - 36 = 48

48 boys extra boys are required to complete the piece of work.