A train travels a distance of 60 km with a uniform speed of 60 km/h. It travels another 50 km with a uniform speed of 80 km/h. Calculate the average speed of the train?
Answers
A train travels a distance of 60 km with a uniform speed of 60 km per hour. It travels another 50 km with a uniform speed of 80 km per hour. What is the average speed of the train?
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Given: d1 =60 km; d2 = 50 km
speed1 = 60 km/h ; speed2 = 80 km/h
To solve for travel time1 and travel time2 we divide the distance traveled by the speed. So travel time1 = distance1/speed1 = 60 km/ 60 km/h = 1 h
travel time2 =50 km / 80 km/h = 5/8 h
Knowing the distances traveled and the travel time, we solve for the average speed of the train by dividing the total distance traveled by the total time.
average speed =( 60 km + 50 km) / (1 + 5/8) h which results ro
average speed = 110 km / 13/8 h =( 110 * 8/ 13) km/h =( 880 / 13) km/h
average speed = 67.69 km/h