#### An aeroplane traveled a distance of 400 km at an average speed of x km/hr. On the return journey, the speed was increased by 40 km/hr. Write down an expression for the time taken for

(i) the onward journey,

(ii) the return journey.

If the return journey took 30 minutes less than the onward journey, write down an equation in x and find its value. (2002)

**Solution:**

#### The distance by road between two towns A and B is 216 km, and by rail, it is 208 km. A car travels at a speed of x km/hr, and the train travels at a speed which is 16 km/hr faster than the car. Calculate:

(i) The time is taken by the car, to reach town B from A, in terms of x.

(ii) The time is taken by the train, to reach town B from A, in terms of x

(iii) If the train takes 2 hours less than the car, to reach town B, obtain an equation in x and solve it.

(iv) Hence find the speed of the train. (1998)

**Solution:**

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