Factor
x
2
x
2
out of
x
3
−
2
x
2
x
3
-
2
x
2
.
x
2
(
x
−
2
)
First, find the amount of time is taken to travel 1 mile :
time taken to travel 1 mile = 20/6 = 3 ⅓ mins
hence, time taken to travel 9 miles = 3 ⅓ x 9 = 30 mins
time taken to travel 10 miles = 3 ⅓ x 10 = 33 ⅓ mins
Set up the ratios as proportional fractions:

We can simplify the first fraction to make the problem easier. Both the numerator and denominator of the first fraction can be divided by 3:


Both fractions now have the same denominator. Since both fractions have to equal each other, the numerators will also be the same. Therefore,
x = 4.