Question

On the first part of a journey, Alan drove a distance of x km and his car used 6 litres of fuel.

The rate of fuel used by his car was 600 litres per 100 km. x

(a)

Alan then drove another (x + 20) km and his car used another 6 litres of fuel.

(i) Write down an expression, in terms of x, for the rate of fuel used by his car on this part of the journey.

Give your answer in litres per 100 km.

Answer 1

`(600)/(x+20)\text{ litres per 100 km}`

Explanation:

Given,

The number of litres consumed by car in (x+20) km = 6,

So, number of litres consumed by car in 1 km =
`(6)/(x+20)`,

Now, number of litres consumed by car in 100 km = 100 × litres consumed by car in 1 km

`=100* (6)/(x+20)`

`=(600)/(x+20)`

Hence, the rate of fuel used by his car would be
`(600)/(x+20)` litres per 100 km.