Question

The distance between two stations a and b is 450 km. A train starts from a and moves towards b at an average speed of 20 km/h. Another train starts from b, 20 minutes earlier than the train at a, and moves towards a at an average speed of 30 km/h. How far from a will the two trains meet?

Answer 1

When both train will meet distance from station a will be 183.86 km

Explanation:

We have given distance between a and b is 450 km

It is given speed of train which is traveling from station a to b is 20 km/hr

It is that a trains with speed 30 km/hr leaves from station b towards a

As 1 hour = 60 minutes

So 20 minutes $=\frac{20}{60}=0.333hour$

Distance travel in 0.333 hour by train which leaves station a $=0.333\times 20=6.66km$

Now distance between a and b is $450-6.66=443.34km$

As both the trains are moving towards each other

So relative speed = 20+30 = 50 km/hr

So time after which both train will meet $=\frac{443.34}{50}=8.86hour$

Distance traveled by train which leaves station a in 8.86 hour $=8.86\times 20=177.2km$

So distance from a when they will meet = 177.2+6.66 = 183.86 km

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