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$\frac{3}{2}$hours at the rate of 3 km per hour to get to his farm. Find the value of y​

Answer 1

Answer:

$y = 15.5$

Step-by-step explanation:

Given

$Total\ Distance = 20km$

$Walks\ Hours= \frac{3}{2}\ hours$

$Walks\ Rate = \frac{3km}{1\ hour}$

Required

Determine the distance (y) covered by his car

First, we calculate the distance walked.

This is calculated as follows;

$Distance = Walk\ Hours * Walk\ Rate$

$Distance = \frac{3}{2}\ hours * \frac{3km}{1\ hour}$

$Distance = \frac{3}{2}* 3km$

$Distance = \frac{3* 3km}{2}$

$Distance = \frac{9km}{2}$

$Distance = 4.5km$

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