Question

The ratio of the speed of the two trains is 2: 5. If the distances they travel are in the ratio 5: 9, find the ratio of times

taken by them​

Answer 1

Answer :

The answer is 25:18.

Hope my answer will help you♥ !

Answer 2

Answer:

The ratio of times taken by these two trains is 24 : 18.

Step-by-step explanation:

Given, the ratio of the speed of the two trains  = 2 : 5

The distances travelled are in the ratio = 5 : 9.

Consider that the speed of first train, S₁ = 2

The speed of the second train, S₂ = 5

The distance travelled by first train, d₁ = 5

The distance travelled by second train, d₂ = 9

We know that, speed = distance/ time

time = distance /speed

$\frac{t_1}{t_2}= \frac{d_1/S_1}{d_2/S_2}$

$\frac{t_1}{t_2}=(\frac{d_1}{d_2}) \times (\frac{S_2}{S_1})$

$\frac{t_1}{t_2}=(\frac{5}{9}) \times (\frac{5}{2})$

$\frac{t_1}{t_2}=\frac{25}{18}$

t₁ : t₂ is 25 : 18

Therefore, the ratio of times taken by these two trains is 24 : 18.

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