A train travels at a certain average speed for a distance of 63 km and then travels a distance of 72
km at an average speed of 6 km/hr more than its original speed. If it takes 3 hours to complete the
total journey, find the original average speed.
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Answer:
the average speed of the train is 42 km/hr.
Step-by-step explanation: Let original speed of the train be x km/h.
Then, time taken to travel 63 km = 63/x hours
New speed = (x + 6) km/hr
Time taken to travel 72 km = 72/(x + 6) hours
According to the question,
x2 - 39x - 126 = 0
(x - 42)(x + 3) = 0
x = -3 or x = 42
As the speed cannot be negative, x = 42
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