Question 174

A train runs for 2 hrs at the speed of 40 km/h and then runs for 4.5 hrs at the speed of 60 km/h and then runs for 3.5 hrs at the speed of 70 km per hour. Find the average speed of the train.

Solution

here the distance covered by train in 1st 2 hours = 40 x 2 = 80 km

now the distance covered by train in next 4.5 hours = 60 x 4.5 = 270 km

now the distance covered by train in next 3.5 hours = 70 x 3.5 = 245 km

Total distance travelled by train = 80+ 270 + 245 = 595 km

Total time = 2 + 4.5 + 3.5 = 10 hours

Average speed = $$\frac{total distance}{total time}$$

= 595/10 = 59.5 km/hr

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