Question

Six men completed a task in 24 hrs and 48 min. How long, in hours and minutes, would it take four men to complete the same task?

Answer 1

It would take 4 men 37 hrs and 12 mins to complete the same task.

Explanation:

Let X be the time the four men would use to complete the task.

From the question, 6 men completed a task in 24 hrs and 48 mins

But

`24 \: hrs \: 48 \: mins = 24(60mins) + 48 \: mins=1488 \: mins`

Using ratio and proportion

`6 \: men:1488 \: mins`

`4 men:x\:mins`

if more, less divides and if less, more divides.

4 men required more time to complete the task

Hence:

`x = (6)/(4) * 1488 \: mins`

`x = 2232 \: mins`

x = 37 hrs 12 mins