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The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 Kms. in 5 hours, the speed of the first train is
- a)10 Km/hr
- b)50 Km/hr
- c)71 Km/hr
- d)none of these
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
The ratio between the speeds of two trains is 7 : 8. If the second tra...
Let the speeds of two trains be 7x and 8x km/hr.
8x = 400/5
=> x = 10 km/hr
[Speed(S) = Distance(D)/Time (T)]
So speed of first train is 10 x 7 = 70 km/hr.
Most Upvoted Answer
The ratio between the speeds of two trains is 7 : 8. If the second tra...
Given:
Ratio between speeds of two trains = 7:8
Distance covered by second train = 400 km
Time taken by second train = 5 hours
To find:
Speed of first train
Solution:
Let us assume the speed of the first train to be 7x and that of the second train to be 8x.
As per the given information, we know that the distance covered by the second train is 400 km in 5 hours.
Therefore, the speed of the second train is:
Speed of second train = Distance covered / Time taken = 400/5 = 80 km/hr
We can now form an equation based on the ratio of speeds of the two trains:
7x/8x = speed of first train/speed of second train
Substituting the values we get,
7x/8x = speed of first train/80
Simplifying the equation,
7/8 = speed of first train/80x
Speed of first train = (7/8) × 80x
Speed of first train = 70x/8
We are not given any information about the value of x, and hence we cannot find the actual speed of the first train.
Therefore, the correct answer is option (D) None of these.
Ratio between speeds of two trains = 7:8
Distance covered by second train = 400 km
Time taken by second train = 5 hours
To find:
Speed of first train
Solution:
Let us assume the speed of the first train to be 7x and that of the second train to be 8x.
As per the given information, we know that the distance covered by the second train is 400 km in 5 hours.
Therefore, the speed of the second train is:
Speed of second train = Distance covered / Time taken = 400/5 = 80 km/hr
We can now form an equation based on the ratio of speeds of the two trains:
7x/8x = speed of first train/speed of second train
Substituting the values we get,
7x/8x = speed of first train/80
Simplifying the equation,
7/8 = speed of first train/80x
Speed of first train = (7/8) × 80x
Speed of first train = 70x/8
We are not given any information about the value of x, and hence we cannot find the actual speed of the first train.
Therefore, the correct answer is option (D) None of these.
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Community Answer
The ratio between the speeds of two trains is 7 : 8. If the second tra...
As the ratio between speeds of trains should be 7:8 and speed of second train is 80 (400÷5) therefore speed of first train should be 70. As 70:80=7:8 so ans is 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 5 hours, the speed of the first train isa)10 Km/hrb)50 Km/hrc)71 Km/hrd)none of theseCorrect answer is option 'D'. Can you explain this answer?
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