A train runs at a speed of 114 kmph to cover a distance of 228 km and then at a speed of 93 kmph to cover a distance of 372km. Find the average speed of the train for the entire distance.

Correct option is A

Given:
First part: Speed = 114 km/h, Distance = 228 km
Second part: Speed = 93 km/h, Distance = 372 km
Formula Used:
Average speed = $$\frac{\text{Total distance}}{\text{Total time}}$$​
Time = $$\frac{\text{Distance}}{\text{Speed}}$$​
Solution:
$$\text{Time}_1 = \frac{228}{114} = 2 \text{ hours}$$​

$$\text{Time}_2 = \frac{372}{93} = 4 \text{ hours}$$​​
$$\text{Total Distance} = 228 + 372 = 600 \text{ km}$$​​
$$\text{Total Time} = 2 + 4 = 6 \text{ hours}$$​​
$$\text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}} = \frac{600}{6} = 100 \text{ km/h}$$​
Option (A) is right.