Prasad goes 96 kilometers on a bike at a speed of 16 km/h, 124 kilometers at 31 km/h in a car, and 105 kilometers at 7 km/h in a horse cart. Find his average speed for the entire distance travelled.

Correct option is B

Given:

Distance travelled on a bike: 96 kilometers at 16 km/h
Distance travelled in a car: 124 kilometers at 31 km/h
Distance travelled in a horse cart: 105 kilometers at 7 km/h

Formula Used

Average Speed = Total Distance / Total Time

Total Distance = Distance on Bike + Distance in Car + Distance in Horse Cart
Total Time = Time on Bike + Time in Car + Time in Horse Cart
Time = Distance / Speed
Solution:

Total Distance = 96 + 124 + 105 = 325 kilometers
the total time taken for each part of the journey:
Time on bike = 96 / 16 = 6 hours
Time in car = 124 / 31 = 4 hours
Time in horse cart = 105 / 7 = 15 hours
Total Time = 6 + 4 + 15 = 25 hours
Average Speed = Total Distance / Total Time = 325 / 25 = 13 km/h
Therefore, the average speed is 13 km/h.