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The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 kms in 4 hours, then the speed of the first train is :
  • a)
    70 kmph
  • b)
    75 kmph
  • c)
    84 kmph
  • d)
    87.5 kmph
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The ratio between the speeds of two trains is 7 : 8. If the second tra...
Ratio of speeds of two trains

Let the speeds of the two trains be 7x and 8x, respectively.

Distance and time

Let us calculate the speed of the second train using the formula:

Speed = Distance/Time

We are given that the second train runs 400 km in 4 hours.

Therefore, the speed of the second train is:

400/4 = 100 km/h

Speed of the first train

We are given that the ratio of the speeds of the two trains is 7 : 8.

Therefore, we can write:

7x/8x = 7/8

Cross-multiplying, we get:

7x × 8 = 8x × 7

56x = 56

x = 1

Therefore, the speed of the first train is:

7x = 7 × 1 = 7 km/h

Hence, the correct option is (d) 87.5 km/h.

Final Answer: 87.5 km/h
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Community Answer
The ratio between the speeds of two trains is 7 : 8. If the second tra...
Let the speed of two trains be 7x Kmph and 8x kmph (speed of second train)
Then, 8x = 400 kms/4hrs = 100kmph
Therefore, speed of first train = 7x = (8/7) * 100
Speed of first train = 87.5 kmph
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The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 kms in 4 hours, then the speed of the first train is :a)70 kmphb)75 kmphc)84 kmphd)87.5 kmphCorrect answer is option 'D'. Can you explain this answer?
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