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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?
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The ratio between the speeds of two trains is 7 : 8. If the second tra...
Understanding the Speed of the Second Train
To determine the speed of the first train, we start with the information given about the second train. The second train covers a distance of 400 kilometers in 5 hours.
  • Calculating Speed of Second Train:


Speed is calculated using the formula:

Speed = Distance / Time
For the second train:
  • Distance = 400 km
  • Time = 5 hours
  • Speed of Second Train = 400 km / 5 hours = 80 km/h



Ratio of Speeds
The ratio of the speeds of the first train to the second train is given as 7:8.
  • Let Speed of First Train = 7x
  • Speed of Second Train = 8x


Since we already calculated the speed of the second train to be 80 km/h, we can set up the equation:
  • 8x = 80 km/h



Finding the Value of x
To find the value of x:
  • x = 80 km/h / 8 = 10



Calculating the Speed of the First Train
Now, we can find the speed of the first train:
  • Speed of First Train = 7x = 7 * 10 = 70 km/h



Conclusion
The speed of the first train is 70 km/h.
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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?
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