Question
Quantity I: The distance a truck
travels from point P to point Q, given that a bike covers the same distance in 2 hours. The truck's speed is 140 km/hr, which is 140% of the bike's speed. Quantity II: The distance a boat covers from point R to point S. The boat's speed in still water is 10 km/hr, and the speed of the current is 2 km/hr. The boat travels downstream from R to S and then returns upstream from S to R, taking a total of 41.25 hours. In the question, two Quantity I and Quantity II are given. You have to solve both the Quantities to establish the correct relation between Quantity I and Quantity II.Solution
ATQ, Speed of Bike = 140/1.4 = 100 km/h Distance travelled by Truck = 100 × 2 = 200 km - Quantity I Distance from point R to point S = d km d/(10 + 2) + d/(10 – 2) = 41.25 d/12 + d/8 = 41.25 5d/24 = 41.25 d = 198 km Quantity II < Quantity I
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