Answer:
8 Hours
Step-by-step explanation:
Let the the length of the road x
It takes 4 men 6 hours to repair a road and they work at the same rate.
So, each one will repair 0.25x
And the rate to repair the road will be 6 hour per 0.25x.
rate = [tex]\frac{6 \ hours}{0.25\ x}[/tex]
Now, if 3 men will do the job
each one of them will repair (1/3) x with the same previous rate
∴ [tex]\frac{time}{1/3 \ x} = \frac{6 \ hours}{0.25 \ x} \\Time = \frac{1}{3} x * \frac{6 \ hours}{0.25 \ x} = \frac{2}{0.25} =8[/tex]
So, The 3 men will do the job at 8 hours.
