SOLUTION: The total distance of a family road trip is 668.25 miles. After traveling 50.75 miles, a kid asked how much longer it would take to get there. If the car travels 65 miles every hou
Question 1208250: The total distance of a family road trip is 668.25 miles. After traveling 50.75 miles, a kid asked how much longer it would take to get there. If the car travels 65 miles every hour, how many hours will it take to finish the trip, if they do not stop?
Answer by math_tutor2020(3817) (Show Source): You can put this solution on YOUR website!
When the kid asks, the car has already traveled 50.75 miles.
They need to travel another 65x miles (due to the formula distance = rate*time) where x is the extra number of hours needed to travel this distance.
The total distance is 65x+50.75
Set this equal to 668.25 and solve for x.
65x+50.75 = 668.25
65x = 668.25-50.75
65x = 617.5
x = 617.5/65
x = 9.5 hours is the answer.
Check:
65*x+50.75 = 65*9.5+50.75 = 668.25
This confirms the answer.