Question

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

Answer 1

Refer it ........

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Answer 2

The ratio of times taken by the two trains is 25:18

Step-by-step explanation:

Given:

The ratio of the distance traveled by the train= 5:9

The ratio of the speed of the two train= 2:5

To find: Ratio of time taken by the train:

Solution

The ratio of the distance traveled by train

⇒(d1 :d2)= 5:9

The ratio of the speed of the two train

⇒(s1 : s2) = 2:5

As we know that

Time = Distance/speed

$\frac{d_{1} }{d_{2} } = \frac{5}{9}$

$\frac{s_{1} }{s_{2} } = \frac{2}{5}$

$\frac{t_{1} }{t_{2} } = \frac{\frac{d_{1} }{s_{1} } }{\frac{d_{2} }{s_{2} } }$

$\frac{t_{1} }{t_{2} } = \frac{d_{1} }{d_{2} } * \frac{s_{2} }{s_{1} }$

$\frac{t_{1} }{t_{2} } = \frac{5}{9 } * \frac{5 }{2}$

$\frac{t_{1} }{t_{2} } = \frac{25}{18 }$

t1 : t2 = 25:18

The ratio of time t1:t2 = 25:18

Final answer:

The ratio of times taken by the two trains is 25:18

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