**Q. A train travels 360 km at a uniform speed. If the seed had been 5 km/h more, it would have taken 1 jour less for the same journey. Find the speed of the train. **

**Ans: **Let take the speed of the train be x km/h.

We know that the time ‘T’ taken to cover a distance ‘D’ by an object moving at a speed ‘S’ is given by:

T =

Hence, Time taken to cover distance 360 km at a speed of x km/h will be:

Next, if Speed becomes (x + 5) km/h, Time taken will be:

by given condition,

Therefore, x = – 45 and x = 40

Here, we reject x = – 45 because speed can not be negative.

Only x = 40 is accepted.

**Hence, speed of the train is 40 km/h.**

**Check:**

*If speed is 40 km/h, it will take hrs.*

*When speed is increased by 5 km/h, new speed is 45 km/h, *

*here, new time will be hrs*

*Since this is 1 hr less than earlier time, hence our answer is correct.*

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