Problema Solution

travel: a car travels 50 miles in the same time that a plane travels 180 miles. the speed of the plane is 143 mph faster than the speed of the car. find the speed of the car.

Answer provided by our tutors

let


v = the speed of the car, v>0


v + 143 = the speed of the plane


d1 = 50 mi the distance the car travels


d2 = 180 i the distance the plane travels


since speed=distance/time follows time = distance/speed


we know that the car and the plan travel the same amount of time thus we have:


d1/v = d2/(v + 143)


50/v = 180/(v + 143)


by solving we find:


v = 55 mph


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the speed of the car is 55 mph.