Question
A truck travels a distance of 240 km in 8 hours. The
speed of a van is 25% more than that of the truck, and the speed of a scooter is 20% more than that of the van. Find the difference between the time (in minutes) taken by the scooter and the van, to travel 50% more distance than traveled by the truck.Solution
ATQ, Speed of truck = 240 km/8 hrs = 30 km/h Speed of van = 30 km/h × (125/100) = 37.5 km/h Speed of scooter = 37.5 km/h × (120/100) = 45 km/h Now, total distance to be traveled by van or scooter = 240km × (150/100) = 360km Required difference in time = ((360km)/(37.5 km/h))- ((360 km)/(45km/h)) = 9.6hrs - 8hrs = 96 min
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