Question

40 workers working for 8 hours per day digs a hole of 1088$m^3$. If 45 workers work for 6 hours a day, then what volume of the hole they can dig?

• A. $918m^3$
• B. $818m^3$
• C. $908m^3$
• D. $928m^3$

Answer 1

The correct option is A $918m^3$

Number of workers	Number of hours a day	Volume of hole
40	8	$1088m^3$
45	6	$x$

As the number of increases, amount of work done will be high, so it is in direct proportion.
The multipying factor is $\frac{45}{40}$
If number of hours worked a day are more, voulme of hole is high, so it is also in direct proportion.
The multipying factor is $\frac{6}{8}$

$x=1088\times \frac{45}{40}\times \frac{6}{8}=918$
Hence, if 45 workers work for 6 hours a day, a hole of volume $918m^3$ can be made.