Question

A train runs at a speed of 84 kmph to cover a distance of 336 km and then at a speed of 96 kmph to cover a distance of 192 km. Find the average speed of the train for the entire distance.

• A. 104 kmph
• B. 73 kmph
• C. 88 kmph
• D. 126 kmph

Answer 1

Answer:

C. 88 kmph

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

• Distance (d1) = 336 km

• Speed (s1) = 84 kmph

• Time (t1) = Distance / Speed = 336 km / 84 kmph = 4 hours

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

• Distance (d2) = 192 km

• Speed (s2) = 96 kmph

• Time (t2) = Distance / Speed = 192 km / 96 kmph = 2 hours

3. Calculate the total distance traveled:

• Total Distance (D) = d1 + d2 = 336 km + 192 km = 528 km

4. Calculate the total time taken:

• Total Time (T) = t1 + t2 = 4 hours + 2 hours = 6 hours

5. Calculate the average speed:

• Average Speed = Total Distance / Total Time = 528 km / 6 hours = 88 kmph

Therefore, the average speed of the train for the entire distance is 88 kmph.