Question

Mr Baffoe's farm is 20 km from his house . He uses his car to travel y km of the distance from his and walks
`(3)/(2)`hours at the rate of 3 km per hour to get to his farm. Find the value of y​

Answer 1

`y = 15.5`

Explanation:

Given

`Total\ Distance = 20km`

`Walks\ Hours= (3)/(2)\ hours`

`Walks\ Rate = (3km)/(1\ hour)`

Required

Determine the distance (y) covered by his car

First, we calculate the distance walked.

This is calculated as follows;

`Distance = Walk\ Hours * Walk\ Rate`

`Distance = (3)/(2)\ hours * (3km)/(1\ hour)`

`Distance = (3)/(2)* 3km`

`Distance = (3* 3km)/(2)`

`Distance = (9km)/(2)`

`Distance = 4.5km`

This means that he walked 4.5 km

The total distance can be expressed as a sum of distance covered while walking and distance covered by car.

i.e.

`Walk + Car = Total`

Make Car the subject

`Car = Total - Walk`

This gives

`y = 20 - 4.5`

`y = 15.5`

Hence, his car travelled 15.5km