A train runs at a speed of 81 kmph to cover a distance of 405 km and then at a speed of 88 kmph to cover a distance of 176km. Find the average speed of the train for the entire distance.

Correct option is A

Given:

First speed = 81 km/h

First distance = 405 km

Second speed = 88 km/h

Second distance = 176 km

Formula Used:

Average Speed = $$\frac{\text{Total Distance}}{\text{Total Time Taken}}$$​​

Solution:

Total Distance = 405 + 176= 581 km

Time for First Part = $$\frac{405}{81}$$​ = 5 hours

Time for Second Part = $$\frac{176}{88}$$​ = 2 hours

Total Time = 5 + 2 = 7 hours

Average Speed = $$\frac{581}{7}$$​ = 83 km/h