A train travels 240 km in 4 hours. The speed of a car is 25% more than the speed of the train, and the speed of a bike is 40% less than the speed of the car. Find the difference (in minutes) between the time taken by the car and the bike to cover 150 km.
Show answer & explanation
Correct answer: C
Explanation
Given:
The train covers a distance of 240 km in 4 hours.
Speed of the car = 25% greater than the speed of the train.
Speed of the bike = 40% less than the speed of the car.
Distance = 150 km.
According to the formula:
Speed = Distance / Time
Speed of the train = 240 / 4 = 60 km/h
Speed of the car = 60 + 25% of 60 = 60 + 15 = 75 km/h
Speed of the bike = 75 − 40% of 75 = 75 − 30 = 45 km/h
Time taken by the car for 150 km = 150 / 75 = 2 hours
Time taken by the bike for 150 km = 150 / 45 = 3.333 hours
Difference in time = 3.333 − 2 = 1.333 hours
In minutes = 1.333 × 60 = 80 minutes