Question

Vehicle A has a 22-gallon fuel tank and averages 20 miles per gallon. Vehicle B has a 16.7-gallon fuel tank and averages 30 miles per gallon. Both vehicles have just begun traveling with full tanks. In how many miles will both vehicles have the same amount of fuel in their tanks?​

Answer 1

Both vehicles will never have the same amount of fuel in their tanks

In how many miles will both vehicles have the same amount of fuel in their tanks?​

The given parameters are:

Vehicle A

Initial = 22-gallon

Rate = 20 miles per gallon

Vehicle B

Initial = 16.7-gallon

Rate = 30 miles per gallon

The equation of each vehicle is represented as;

Fuel = Initial - Rate * Number of miles

So, we have

y = 22 - 20x --- A

y = 16.7 - 30x --- B

Substitute y = 16.7 - 30x in y = 22 - 20x

16.7 - 30x = 22 - 20x

Collect the like terms

30x - 20x = 16.7 - 22

Evaluate the difference

10x = -5.3

Divide by 10

x = -0.53

Distance cannot be negative

Hence, both vehicles will never have the same amount of fuel in their tanks

Read more about linear equations at:

brainly.com/question/2226590

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