Question
A man covered 40 km by bus and rest 25 km on foot. If
the speed of the bus is 150% more than that of the man and the whole distance is covered in 2 hours 3 minutes, then find the speed of thebus.Solution
Let the speed of the man be ‘x’ km/hrTherefore, speed of the bus = 2.5x km/hrTotal time taken = 2 hours 3 minutes = 2 hours + (3/60) hours = 2.05 hoursAccording to the question,(40/2.5x) + (25/x) = 2.05Or, (40 + 62.5) = 2.05 × 2.5xOr, 5.125x = 102.5Or, x = 20Therefore, speed of the bus = 2.5x = 50 km/hr
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