A train can travel 20% faster than a bus. Both start from the point a at the same time and reach point b 75 km away from a at the same time. But the train stopped for 12.5 minutes while stopping at the stations. Find the speed of the bus in km/hr.
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Let the speed of bus be x kmph.
Therefore, the speed of train = 50/100 *x + x = 150/100 * x = 1.5x
Distance traveled by train and bus is same. Time difference is 12.5 minutes
so, using s = d/t
time taken by train to cover 75 km = 75/x
time taken by bus = 75/1.5x
so now, Time difference is 12.5 minutes
so,
time taken by train - time taken by bus = 12.5
75/x - 75/1.5x = 12.5 /60
x = 120
Therefore, the speed of train = 50/100 *x + x = 150/100 * x = 1.5x
Distance traveled by train and bus is same. Time difference is 12.5 minutes
so, using s = d/t
time taken by train to cover 75 km = 75/x
time taken by bus = 75/1.5x
so now, Time difference is 12.5 minutes
so,
time taken by train - time taken by bus = 12.5
75/x - 75/1.5x = 12.5 /60
x = 120
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