SOLUTION: a car travels 375 miles in the same time that amotorcycle travels 325 miles. if the car's speed is 10miles per hour more than the motorcycle's, what is the speed of the car and the

Question 626317: a car travels 375 miles in the same time that amotorcycle travels 325 miles. if the car's speed is 10miles per hour more than the motorcycle's, what is the speed of the car and the speed of the motorcycle
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the speed of the motorcycle in mi/hr
= the speed of the car in mi/hr
= the time for both
----------------
Equation for motorcycle:
(1)
Equation for car:

(2)
-------------------
Substitute (1) into (2)
(2)
(2)
(2) hrs
-------------
(1)
)1)
(1)

The speed of the motorcycle is 65 mi/hr
The speed of the car is 75 mi/hr
check:

OK
RELATED QUESTIONS
a car travels 395 miles in the same time that a motorcycle travels 345 miles. If the... (answered by lwsshak3)

A car travels 90 miles in the same time that car travelins 10 miles per hour slower... (answered by mbarugel)

A car travels 60 miles in the same time that a car traveling 10 miles per hour faster... (answered by Theo)

A car travels 50 miles in the same time that a plane travels 180 miles. The speed of the... (answered by josmiceli)

A car travels 60 miles in the same time that a car traveling 10 per hour faster travels... (answered by ptaylor)

A car travels 312 miles in the same time that a motorcycle travels 272 miles. If... (answered by josgarithmetic)

Suppose that during a test drive of two cars, one car travels 333 miles in the same time... (answered by richwmiller)

Suppose that during a test drive of two cars, one car travels 252 miles in the same time... (answered by lwsshak3)

Suppose that during a test drive of two cars, one car travels 110 miles in the same time... (answered by josgarithmetic,jorel555)