Question

the ratio of speed of two trains per hour is 7 ratio 9 if the fastest train cover the distance 613 km in 14 hours find the time taken by the other train to cover the same distance

Answer 1

Explanation:

Let the speeds of two trains be 7X and 9X km/hr.


9X = \frac{613}{14) \\

=> X = 4.8550 Km/hr

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So speed of first train is = 8 km/hr
hope it is correct

Answer 2

Answer: The other train takes 18 hours to cover the same distance.

Step-by-step explanation:

Since we have given that

The ratio of speed of two trains per hour is 7:9.

Distance covered by them = 613 km

Time taken by the fastest train = 14 hours

So, Speed of fastest train will be

$\frac{613}{14}=43.78\ km/hr$

Since the speed of fastest train is 9x.

so, our equation becomes,

$9x=43.78\\\\x=\frac{43.78}{9}\\\\x=4.865$

So, the speed of other train is given by

$7x=7\times 4.865=34.05\ km/hr$

Hence, the time taken by the other train to cover the same distance will be

$\frac{Distance}{Speed}=\frac{613}{34}=18.02\approx 18\ hours$