# Math

Beth's car has a gas tank that can hold 15 gallons of gas. Her car uses
1/30 of a gallon of gas per mile driven.

Darcy's car has a gas tank that can hold 16 gallons of gas. His car uses
1/25 of a gallon of gas per mile driven.

Both cars start with full tanks of gas. After how many miles will both cars have the same number of gallons of gas remaining in their gas tanks?

1. 👍
2. 👎
3. 👁
1. x = miles

gas remaining in Beth tank = 15 - x/30

gas remaining in Darcy tank = 16 - x/25

so
15 - x/30 = 16 - x/25
or
1 = x (1/25 - 1/30)
1 = x (.0066666666.....
x = 150 miles

1. 👍
2. 👎
2. I still really need to know the math to this problem. I don't get how to do it at all! HELP ME PLEASE! D:

1. 👍
2. 👎

## Similar Questions

1. ### Math

Bobs car gets 23 miles per gallon of gas. If bobs car is traveling at a constant rate of 69 miles per hour, how may gallons of gas will his car use in 40 minutes?

2. ### math

A car travels 172 miles using 7 gallons of gas. At that rate, how far can the car travel using 42 gallons of gas ( i got 1,032 ) answers to choose:1,032 miles 1,548 miles 1,204 miles or 1,376 miles

3. ### math

If a car holds 16 gallons of gas. If 3/4 of a tank was used how man gallons was used?

4. ### math

When 6 gallons of gasoline are put into a car's tank the indicator goes from 1/4 of a tank to 5/8. What is the total capacity of the gas tank?

1. ### Math

This week Bob puts gas in his truck when the tank was about half empty. Five days later, Bob puts gas again when the tank was about three fourths full. If Bob bought 24 gallons of gas, how many gallons does the tank hold?

2. ### math

A car traveled 63 miles on 3 gallons of gas. What proportion can you set up to determine how many miles, m, the car can travel on 7 gallons of gas?

3. ### Mathematics

Natalie's car used 7 gallons of gas to drive 161 miles. At what rate does her car use gas in gallons per mile? Express your answer in simplest form.

4. ### Math

A car traveled at a constant speed for 4 hours and covered 144.6 miles. It used 12 gallons of gas to travel this distance. How far did the car go in 1 hour? How far did the car travel on 1 gallon of gas?

1. ### math

it took 12 gallons of gas to fill the family car this is 5/6 the amount that the tank can hold how much gas can the tank hold?

2. ### math

You are on a 650-mile trip by car. Your car used eight gallons of gas to travel the first 210 miles of the trip at the same rate. How much more gas will you need to make it the rest of the way?

3. ### math

Maria needed 5 gallons of gas to fill her​ car's gas tank. The mileage odometer read 34,300 miles. When the odometer read 34,528 Maria filled the tank with 12 gallons. At the end of the​ trip, she filled the tank with 17

4. ### Math

A car run until the gas tank is 1/8 full.the tank is then filled to capacity by putting in 14 gallons.the capacity of the gas tank of the car is........?