Correct Answer - Option 1 : 32 minutes
Given:
A train takes 45 minutes to cover a certain distance at a speed of 80 km/h
His speed is increased by 125
Then how long will it take the train to cover 8/5 of the same distance
Formula used:
\(velocity= distance/time\)
Calculation:
Distance = velocity × time
Distance = 80 × 45 × 50/3
⇒ 60000 meter
Speed is increased by 125%
⇒ 80 + 80 × (125/100)
⇒ 180 km/hour
The train to cover 8/5 of the same distance
Distance = 60000 × (8/5)
⇒ 96000
So time is taken by train,
Time = distance/speed
⇒ (96000/180) × (3/50)
⇒ 32 minutes
Therefore, covered the distance by train in 32 minutes