Question
Quantity I : Distance travelled by the cycle to reach
point c from point B if a Bike travels the same distance in 2 hours and the speed of the cycle is 140 km/hr which is 140% of the speed of the Bike. Quantity II : Distance travelled by a boat to reach point E from point D if the speed of the boat in still water is 10 km/hr and speed of current is 2 km/hr. It goes from point D to E downstream and return back from point E to D upstream in 41.25 hours.Solution
let the Speed of Bike = 140/1.4 = 100 km/h Therefore Distance travelled by cycle will be = 100 × 2 = 200 km = Q1 So, Distance from point D to point E = x km x/(10 + 2) + x/(10 – 2) = 41.25 x/12 + x/8 = 41.25 5x/24 = 41.25 x = 198 km Q2 < Q1.
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