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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?
Verified Answer
The ratio between the speeds of two trains is 7 : 8. If the second tr...
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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Most Upvoted Answer
The ratio between the speeds of two trains is 7 : 8. If the second tr...
Given data:

Ratio of speeds of two trains = 7:8

Distance covered by second train = 400 km

Time taken by second train = 4 hours

To find:

Speed of the first train

Solution:

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

Distance covered by second train = 400 km

Time taken by second train = 4 hours

∴ Speed of second train = Distance/Time = 400/4 = 100 km/hour

We know that the ratio of speeds of the two trains is 7:8

∴ 7x/8x = 7/8

∴ x = 100

Therefore, speed of the first train = 7x = 7*100 = 700 km/hour

Answer:

Speed of the first train = 700 km/hour = 87.5 km/hour (approx) (Option D)
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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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