Question

speed of two trains in ratio of 3:4,find ratio between time taken by these trains to cover same distance​

Answer 1

Step-by-step explanation:

let the speed of two trains be X

3:4

3x:4x

X=3+4

X=7

Answer 2

The ratio between the time taken by these two trains to cover the same distance would be 4: 3.

Given:

For two trains A and B;

The ratio of the speed of trains A and B is = 3: 4

The distance covered by the two trains A and B is the same.

To Find:

The ratio between the time taken by these trains to cover the same distance​ =?

Solution:

Here we will use the basic formula;

Distance  = speed × time.

Let, the same distance covered by both trains A and B be 'd' m.

By modifying the formula, we can also write;

time = $\frac{Distance}{Speed}$

i.e., For the same distance to be covered by them, we can say that time taken by them is inversely proportional to their speeds.

Therefore,

$\frac{Time Taken byA}{Time Taken byB}$  =  $\frac{Speed of B}{Speed of A}$

∴  $\frac{Time Taken byA}{Time Taken byB}$  = $\frac{4}{3}$

Hence, we can say that the ratio of time taken by the two trains will be in the ratio 4: 3.

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