Question : If a man walks 20 km at 5 km/hr, he will be late by 40 minutes. If he walks at 8 km/hr, how early from the fixed time will he reach?
Option 1: 15 minutes
Option 2: 25 minutes
Option 3: 50 minutes
Option 4: $1\frac{1}{2}$ hours
Correct Answer: 50 minutes
Solution :
Time = $\frac{distance }{speed}$
Let, he cover 20 km at the speed of 8 km/hr be t minutes early.
$\frac{20}{5} - \frac{20}{8} = \frac{t+40}{60}$
$\frac{160-100}{40}=\frac{t+40}{60}$
$\frac{60}{40}=\frac{t+40}{60}$
$90 = t+40$
$t= 90 - 40 = 50$ minutes
Hence, the correct answer is 50 minutes.
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