Question

A certain car can drive 119 miles on a tank of 5 gallons. A) how far can the car drive on 9 gallons? Round to the nearest mile. B) how many gallons are needed to drive 1190 miles? Round to the nearest tenth of a gallon.

Answer 1

Given:

A car can drive 119 miles on 5 gallons.

`(119)/(5)=23.8\text{ miles per gallon}`

So, car drive 23.8 miles per gallon.

A) For 9 gallons the distance covered by car is,

`\begin{gathered} \text{1 gallon}=23.8\text{ miles} \\ 9\text{ gallons=23.8}*9\text{ =214.2 miles} \end{gathered}`

The car can drive 214.2 miles on 9 gallons.

B) For 1190 miles,

`\begin{gathered} \text{1 gallon}=23.8\text{ miles} \\ (1)/(x)=(23.8)/(1190) \\ x=(1190)/(23.8) \\ x=50 \end{gathered}`

The car will need 50 gallons to drive 1190 miles