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The average speed of an express train is 40 km/hr faster than the average speed of a bus.
To travel 1200 km,the bus requires 50% more time than the train. Determine the average speed of the bus and the train.
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Let x = the bus speed, in .
Then the train speed is (x+40) .
The time for the bus to cover 1200 km is .
The time for the train is .
We are given that
= .
Cancel the factor 1200 in both sides. You will get
= .
Multiply both sides by x*(x+40). You will get
1.5x = x+40 ---> 0.5x = 40 ---> x = = 80 .
It is the bus speed. Then the trai speed is 40 more, i.e. 120 .
Answer. The train speed is 120 km/h. The bus speed is 80 km/h.