A bus travels a distance of 180 km in 6 hours. The speed of a car is 20% more than that of the bus, and the speed of a bike is 25% more than that of the car. Find the difference between the time (in minutes) taken by the bike and the car to travel 50% more distance as travelled by the bus.
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Correct answer: D
Explanation
Given:
The bus covers a distance of 180 km in 6 hours.
Speed of the car = 20% more than the speed of the bus.
Speed of the bike = 25% more than the speed of the car.
Distance to be covered = 50% more.
Formula:
Speed = Distance / Time
Time = Distance / Speed
Speed of the bus = 180 / 6 = 30 km/h
Speed of the car = 30 × 1.20 = 36 km/h
Speed of the bike = 36 × 1.25 = 45 km/h
Distance covered = 180 × 1.5 = 270 km
Car time = 270 / 36 = 7.5 hours = 450 minutes
Bike time = 270 / 45 = 6 hours = 360 minutes
Time difference = 450 − 360 = 90 minutes
Time difference = 90 minutes