Question

A car uses 3t gallons of gasoline to travel 5 miles.

a) How many gallons of gasoline are needed to travel 8 miles? Give your answer in terms of t.

24t/5 (fraction)

b) The car uses 9t gallons of gasoline to travel from Town X to Town Y. How many miles apart are the two towns?

please answer “b” i know a for certain

Answer 1

Answer: a)
`(24)/(5)t gallons` are needed to travel 8 miles

b) Town X and town Y are 15 miles apart.

Explanation:

Given : Gasoline used to travel 5 miles = 3t gallons

a) To find: Gasoline used to travel 8 miles = ?

Using unitary method:

If Gasoline used to travel 5 miles = 3t gallons

Thus Gasoline used to travel 8 miles =
`(3t)/(5)* 8=(24)/(5)t gallons`

`(24)/(5)t gallons` are needed to travel 8 miles

b) when 3t gallons of gasoline are used , distance covered = 5 miles

Thus when 9t gallons of gasoline are used , distance covered =
`(5)/(3t)* 9t=15 miles`

Thus town X and town Y are 15 miles apart.