Speed distance and time (Grade 11)?
The average speed of an express train is 40 km/h faster than the average speed of a bus. To travel 1200 km, the bus requires 50% more time than the train. Determine the average speeds of the bus and the train.
let the speed of the bus be x km/h
i.e. the speed of the train is x+40 km/h
for bus
d=vt
1200=xt/2
2400=xt------------------(1)
for train
1200=(x+40)t------------------(2)
dividing (1) by (2)
2=x/(x+40)
x+80=2x
x=80km/h
speed of train is 120km/h
speed of bus is 80km/h
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