Question

A train runs at a speed of 111 kmph to cover a distance of 222 km and then at a speed of 86 kmph to cover a distance of 258 km. Find the average speed of the train for the entire distance.

• A. 117 kmph
• B. 96 kmph
• C. 72 kmph
• D. 86 kmph

Answer 1

Answer:

B. 96 kmph

Let's break down the problem step-by-step:

1. Calculate the time taken for the first part of the journey:

• Distance (d1) = 222 km

• Speed (s1) = 111 kmph

• Time (t1) = Distance / Speed = 222 km / 111 kmph = 2 hours

2. Calculate the time taken for the second part of the journey:

• Distance (d2) = 258 km

• Speed (s2) = 86 kmph

• Time (t2) = Distance / Speed = 258 km / 86 kmph = 3 hours

3. Calculate the total distance traveled:

• Total Distance (D) = d1 + d2 = 222 km + 258 km = 480 km

4. Calculate the total time taken:

• Total Time (T) = t1 + t2 = 2 hours + 3 hours = 5 hours

5. Calculate the average speed:

• Average Speed = Total Distance / Total Time = 480 km / 5 hours = 96 kmph

Therefore, the average speed of the train for the entire distance is 96 kmph.