A train runs between four stations A, B, C, and D on Monday and Tuesday. The average speed of the train for the entire journey on Monday is 50 kmph 50...

Question

A train runs between four stations A, B, C, and D on Monday and Tuesday. The average speed of the train for the entire journey on Monday is 50 kmph50 \text{ kmph}, and on Tuesday it is 62.5 kmph62.5 \text{ kmph}. On Monday, the train takes one hour less to travel from A to B compared to Tuesday. The time taken to travel from B to C is the same on both days. However, the train takes three hours more to cover the distance from C to D on Monday than on Tuesday. The distance between A and B is 40% less than the distance between C and D. The distance between B and C is 50% more than the distance between A and B. There are no stops between stations A and D.

On Monday, the speed of the train between stations B and C is 50% more than the speed between C and D, and the time taken to cover B to C is 2 hours less than the time taken to cover C to D. What is the speed of the train between stations C and D on Monday?

Options

A.

20 kmph20 \text{ kmph}

B.

60 kmph60 \text{ kmph}

C.

30 kmph30 \text{ kmph}

D.

50 kmph50 \text{ kmph}

E.

40 kmph40 \text{ kmph}

train speedaverage speedtime and distancespeed calculation

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