Ramesh travels from the Shimla to Manali by car at a certain speed. When he comes back from Manali to Shimla, his speed is 60 km per hour. If the average speed for the whole journey is 72 km per hour, find his speed when he travels from the Shimla to Manali.
Let a be the speed from Shimla to Manali
⇒ Speed from Manali to Shimla = 60 miles/hour
Here, both the ways, he covers the same distance
Then, formula for constant - speed = 2v1v2/(v1 + v2)
Here, v1 = a and v2 = 60
Also, given,
Average speed = 72 km/hour
⇒ 2(a)(60)/(a + 60) = 72
⇒ 120a = 72(a + 60)
⇒ 120a = 72a + 4320
⇒ 48a = 4320
⇒ a = 90
∴ The speed of car from Shimla to Manali is 90 km/h