After 3 hours, the faster car will be 75 miles ahead of the slower car.
Step-by-step explanation:
Given,
Speed of first car = 56 miles per hour
Speed of second car = 31 miles per hour
Let,
x be the number of hours.
Distance covered by first car = Speed * time = 56x
Distance covered by second car = 31x
According to given statement;
Difference between distance covered by both cars = 75 miles
Distance of faster car - Distance of slower car = 75 miles
![56x-31x=75\\25x=75](https://tex.z-dn.net/?f=56x-31x%3D75%5C%5C25x%3D75)
Dividing both sides by 25
![\frac{25x}{25}=\frac{75}{25}\\x=3](https://tex.z-dn.net/?f=%5Cfrac%7B25x%7D%7B25%7D%3D%5Cfrac%7B75%7D%7B25%7D%5C%5Cx%3D3)
After 3 hours, the faster car will be 75 miles ahead of the slower car.
Keywords: subtraction, division
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