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

Algebra ->  Customizable Word Problem Solvers  -> Travel -> 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      Log On

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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) About Me  (Show Source):
You can put this solution on YOUR website!
Let +s+ = the speed of the motorcycle in mi/hr
+s+%2B+10+ = the speed of the car in mi/hr
+t+ = the time for both
----------------
Equation for motorcycle:
(1) +325+=+s%2At+
Equation for car:
+375+=+%28+s+%2B+10+%29%2At+
(2) +375+=+s%2At+%2B+10t+
-------------------
Substitute (1) into (2)
(2) +375+=+325+%2B+10t+
(2) +10t+=+50+
(2) +t+=+5+ hrs
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(1) +325+=+s%2A5+
)1) +s+=+325%2F5+
(1) +s+=+65+
+s+%2B+10+=+75+
The speed of the motorcycle is 65 mi/hr
The speed of the car is 75 mi/hr
check:
+375+=+%28+s+%2B+10+%29%2At+
+375+=+%28+65+%2B+10+%29%2A5+
+375+=+75%2A5+
+375+=+375+
OK