Given: A person travelled 300 km by train and another 200 km by bus. The journey took a total time of 5 hours and 30 minutes. However, if the person had travelled 260 km by train and 240 km by bus, the journey would have taken a total time of six more minutes than the original time.
Asked: What was the speed of the train in km per hour?
Let the speed of the train in kmh be t kmh and speed of the bus be b kmh.
A person travelled 300 km by train and another 200 km by bus. The journey took a total time of 5 hours and 30 minutes.
300/t + 200/b = 5.5 (1)
However, if the person had travelled 260 km by train and 240 km by bus, the journey would have taken a total time of six more minutes than the original time.
260/t + 240/b = 5.6 (2)
(1) * 6 - (2) * 5
(1800-1300)/t = 33 - 28 = 5
500/t = 5
t = 100 kmh
Speed of the train = 100 kmh
IMO B
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Kinshook Chaturvedi
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