Question
Quantity 1 : A train travels from Station A to Station
B, a distance of 360 km. For the first 180 km, it travels at a speed of 60 km/h, and for the remaining distance, it travels at a speed of 90 km/h. What is the total time taken by the train to travel from Station A to Station B? Quantity 2 : Another train travels from Station C to Station D, a distance of 450 km. For the first 225 km, it travels at a speed of 50 km/h, and for the remaining distance, it travels at a speed of 75 km/h. What is the total time taken by the train to travel from Station C to Station D?Solution
For Quantity 1 : Time taken for the first 180 km = 180 ÷ 60 = 3 hours Time taken for the remaining 180 km = 180 ÷ 90 = 2 hours Total time = 3 + 2 = 5 hours Quantity 1 = 5 hours For Quantity 2 : Time taken for the first 225 km = 225 ÷ 50 = 4.5 hours Time taken for the remaining 225 km = 225 ÷ 75 = 3 hours Total time = 4.5 + 3 = 7.5 hours Quantity 2 = 7.5 hours Correct option : b) Quantity 1 < Quantity 2
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