a pickup truck has a main tank with a 17 3/4 gallon capacity and an auxiliary tank which holds 15 1/8 gallons. if the truck gets 14 6/10 mpg, how far can the truck trqavel before running out of gas?
First find the tanks' capacities by adding: 17 3/4 + 15 1/8 = ??
Then, divide the answer above by 14 6/10.
We'll be glad to check your answer.
To find out how far the truck can travel before running out of gas, we need to calculate the total combined capacity of the main tank and the auxiliary tank, and then divide it by the truck's fuel efficiency.
First, let's convert the fractional amounts to decimals for easier calculations:
- The main tank capacity is 17 3/4, which is equal to 17.75 gallons.
- The auxiliary tank capacity is 15 1/8, which is equal to 15.125 gallons.
Next, we'll calculate the total combined capacity:
Total Capacity = Main Tank Capacity + Auxiliary Tank Capacity
Total Capacity = 17.75 + 15.125
Total Capacity = 32.875 gallons
Now, we'll divide the total combined capacity by the truck's fuel efficiency to find out how far it can travel:
Distance = Total Capacity / Fuel Efficiency
Distance = 32.875 / 14.6
Distance ≈ 2.2534
Rounding to the nearest whole number, the truck can travel approximately 225 miles before running out of gas.