Question

A non stop bus goes from one station to another station with a speed of 54 km h-¹ the same bus return from the second station to the first station with a speed of 36km h-¹ find the average speed of the bus for the entire journey​

Answer 1

Answer:

Given data:

The speed of the non-stop bus from one station = 54 km/h

The bus returns with a speed = 36 km/hr

To find:

Average speed = ?

Solution:

Let us assume that the distance between both the station be x.

In first travel, time taken is given below:

In second travel, time taken is given below:

Therefore, the total time taken is,

Total distance travelled be,

 

Thereby,

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Answer 2

Answer:

43.2 km/hr

Explanation:

Let the distance between both station be 'd'

Trip-1 : distance = d, speed = 54 kmph ⇒ time = d/54 hr

Trip-2 : distance = d, speed = 36 kmph ⇒ time = d/36 hr

Now,

Total distance = 2d, total time = d/54 + d/36

∴ Average speed = (2d)/(d/54)+(d/36)

                             = 216/5

                       = 43.2 km/hr

Hope it helps!