SOLUTION: a certail truck uses 18 gallons of diesle fuel in traveling 270 miles. in order for the truck to travel the same distance using 10gallons of diesel fuel. by how many miles per gall

Question 1014695: a certail truck uses 18 gallons of diesle fuel in traveling 270 miles. in order for the truck to travel the same distance using 10gallons of diesel fuel. by how many miles per gallon must the truck's fuel mileage be increased?
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
Basic uniform rates, fuel efficiency is for a constant nonzero real number, R. This is a rate comparing distance D to fuel quantity V, volume. Multiplying both sides by V, the relationship is stated or .

Assign some variables:
r, fuel efficiency rate MILES per GALLON
x, increase in fuel efficiency needed

This is the description translated into a system of equations.

Think about the variables and these two equations and make sense of them. ~~If they seem very understandable, then you know what to do.~~
Solve the system for r and x. The first equation will give you r; and then use the value found in the second equation to solve for and evaluate x.

The important part of the exercise is to learn to make the system of equations and then to solve it. The actual values for r and x and not very important.
RELATED QUESTIONS
A truck driver traveled 130 miles using 4 gallons of diesel fuel. What distance would the (answered by math_helper)

Traveling at a speed of 42 miles per hour, a truck can travel a certain distance in 14... (answered by stanbon)

when a truck travels 60kmph, it uses 30% more fuel to travel any distance than it takes... (answered by ankor@dixie-net.com)

A car traveling at 50 miles per hour uses 2 gallons of fuel. The fuel tank has a... (answered by stanbon)

The fuel tank of a compact truck holds 17 gallons. On a full tank, the truck can travel... (answered by richwmiller)

A truck traveling at 70 miles/hr consumes 30% more fuel than another that is traveling at (answered by mananth)

A loaded moving truck is traveling 35 mph faster than a freight train. In the time it... (answered by htmentor)

A loaded moving truck is traveling 15 mph faster than a freight train. In the time it... (answered by lwsshak3)

in his truck, Robert can drive 63.5 miles on 3 gallons of gas. Find the distance that... (answered by josmiceli)