A motorist takes 50 minutes to cover a certain distance at a speed of 60 km/hr. If his speed is increased by 25%, how long will he take to cover \(\frac{27}{5}\) times the same distance?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 3 hours 36 minutes
The distance comes from distance \(=\) speed \(\times\) time; the new distance at the new speed then gives the time.
Distance \(\displaystyle =60\times\frac{50}{60}=50\) km
New distance \(\displaystyle =\frac{27}{5}\times50=270\) km
New speed \(=60\times1.25=75\) km/hr
Time \(\displaystyle =\frac{270}{75}=3.6\) hours \(=3\) hours \(0.6\times60=36\) minutes
He takes 3 hours 36 minutes.