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The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 km in 4 hours, What is the the speed of the first train?
- a)85 km/hr
- b)87.5 km/hr
- c)90 km/hr
- d)92.5 km/hr
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The ratio between the speeds of two trains is 7 : 8. If the second tra...
Given
The ratio of speed of two trains = 7 : 8
Formula Used
Distance = speed × time
Calculation
Let the speed of trains be 7x and 8x respectively
Speed of 2nd train = 400/4 = 100 km/hr
According to the question
⇒ 8x = 100
⇒ x = 12.5km/hr
So, speed of 1st train = 7x = 7 × 12.5 = 87.5 km/hr
∴ The speed of 1st train is 87.5 km/hr
Most Upvoted Answer
The ratio between the speeds of two trains is 7 : 8. If the second tra...
To find the speed of the first train, we can use the concept of ratios and proportions.
Given:
Ratio of speeds of two trains = 7 : 8
Distance traveled by the second train = 400 km
Time taken by the second train = 4 hours
Let's assume the speed of the first train is 7x km/hr and the speed of the second train is 8x km/hr.
We know that Speed = Distance/Time.
So, for the second train:
Speed of the second train = Distance/Time
8x = 400/4
8x = 100
x = 100/8
x = 12.5
Now, let's calculate the speed of the first train:
Speed of the first train = 7x
= 7 * 12.5
= 87.5 km/hr
Therefore, the speed of the first train is 87.5 km/hr, which matches with option B.
Given:
Ratio of speeds of two trains = 7 : 8
Distance traveled by the second train = 400 km
Time taken by the second train = 4 hours
Let's assume the speed of the first train is 7x km/hr and the speed of the second train is 8x km/hr.
We know that Speed = Distance/Time.
So, for the second train:
Speed of the second train = Distance/Time
8x = 400/4
8x = 100
x = 100/8
x = 12.5
Now, let's calculate the speed of the first train:
Speed of the first train = 7x
= 7 * 12.5
= 87.5 km/hr
Therefore, the speed of the first train is 87.5 km/hr, which matches with option B.
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Community Answer
The ratio between the speeds of two trains is 7 : 8. If the second tra...
Train 1 :train 2 =7:8
speed of train 2= Distance /time =400/4=100km/hr
speed of train 1=x
x:100=7:8
x/100=7/8
x=(7/8)*100=87.5
speed of train 2= Distance /time =400/4=100km/hr
speed of train 1=x
x:100=7:8
x/100=7/8
x=(7/8)*100=87.5
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The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 km in 4 hours, What is the the speed of the first train?a)85 km/hrb)87.5 km/hrc)90 km/hrd)92.5 km/hrCorrect answer is option 'B'. Can you explain this answer?
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