Problema Solution
An express bus travels 310 miles on the same amount of time that a car travels 275 miles. The rate of the car is 7 mph slower then the bus. What is the rate of the car.
Answer provided by our tutors
Let
v = the rate of the car, v>=0
v + 7 = the rate of the bus
d1 = 275 mi the distance the car travels
d2 = 310 mi the distance the express bus travels
Since speed = distance/time follows time = distance/speed:
d1/v = d2/(v + 7)
275/v = 310/(v + 7)
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click here to see the equation solved for v
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v = 55 mph
The rate of the car is 55 mph.