Question
The speed of a car is 25% more than that of a bike. If
the time taken by the car to cover (3x + 20) km is equal to the time taken by the bike to cover (2x + 40) km. If the speed of a bus is 60 km/hr, then find the time taken by it to cover (x + 120) km.Solution
Let the speed of bike be 'a' km/hr Therefore, speed of car = '1.25a' km/hr According to the question, {(3x + 20)/1.25a} = {(2x + 40)/a} Or, 3x + 20 = 2.5x + 50 Or, 0.5x = 30 Or, 'x' = (30/0.5) = 60 Therefore, (x + 120) = 60 + 120 = 180 Required time taken = (180/60) = 3 hours
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