Problems Involving Ratio Of Speed


 
 
Concept Explanation
 

Problems Involving Ratio Of Speed

If the ratio of the speeds of two objects A and B is given in ratio as a:b. then the ratio of the time taken by them to cover the same distance is

frac{1}{a}:frac{1}{b};or;b:a

Proof: The ratio of speed is a:b

Let the common factor be m

Then speed of A = am

Speed of B  = bm

Let the distance traveled be x meter

We know that

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Sample Questions
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Question : 1

The ratio between the speeds of two trains is 2:5, if the second train runs 40 kms in 4 hours, then the time taken by the first train to cover 40 kms is ________________ hours.

Right Option : B
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Question : 2

The ratio between the speeds of two trains is 4:7, if the second train runs 200 kms in 12 hours, then the time taken by the first train to cover 200 kms is ________________ hours.

Right Option : B
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Question : 3

The ratio between the speeds of two trains is 3:7, if the second train runs 40 kms in 6 hours, then the time taken by the first train to cover 40 kms is ________________ hours.

Right Option : C
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Explanation
 
 
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