Question

A car travels 729 km in 14 days. At this rate, how far would it travel in 42 days?

Answer 1

2187km

Explanation:

Firstly, find out the distance it would travel in a day,

`729/14`

Multiply it by 42 days,

`729/14xx42=2187`

Hence, the car would travel 2187km in 42 days.

Answer 2

Expansion on method given by S3-J E

Explanation:

Consider the ratio `("distance")/("day count")->729/14`

But we need the distance for 42 days
Using the same principle as `1/2=2/4=4/8=?/16`

`("distance")/("day count")->729/14 =("distance")/42`

To 'get rid' of the 42 in `("distance")/42` we change it to the value of 1.

What you do to one side you do to the other:

Multiply `ul("both")` sides by `color(red)(42)`

`color(green)(729/14color(red)(xx42)" " =" "("distance")/42color(red)(xx42))`

`color(green)(2187" " =" distance"xx42/(color(red)(42)))`

but `42/42` is the same as 1

distance `=2187`