SOLUTION: An automobile car traveled 200 miles and at same time a track can travel 150 miles .If the automobile travels at the average speed of 15 miles per hour faster than the track then .

Question 628312: An automobile car traveled 200 miles and at same time a track can travel 150 miles .If the automobile travels at the average speed of 15 miles per hour faster than the track then . Find their average rate?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
An automobile car traveled 200 miles and at same time
a truck can travel 150 miles .
If the automobile travels at the average speed of 15 miles per hour faster
than the truck then .
Find their average rate?
:
Let s = speed of the truck
then
(s+15) = speed of the car
;
Write a time equation: time = dist/speed
:
truck time = car time
=
Cross multiply
150(s+15) = 200s
150s = 2250 = 200s
2250 = 200s - 150s
2250 = 50s
s = 2250/50
s = 45 mph is the speed of the truck
then
45 + 15 = 60 mph is the speed of the car
:
:
Confirm this by finding the time of each, they should be equal
150/45 = 3.33 hrs
200/60 = 3.33 hrs
RELATED QUESTIONS
An automobile can travel 200 kilometers in the same time that a truck can travel 150... (answered by josgarithmetic,MathTherapy)

an automobile leaves City A for City B 2 hours later than a truck. how many miles per... (answered by richwmiller)

An automobile leaves City A for City B 2 hours later than a truck. How many miles per... (answered by solver91311)

The average speed of one airplane is 200 mph faster than that of an automobile. If the... (answered by PBMathandscience)

Hi! I would be so glad if anyone can help me on solving this distance-based problem. The... (answered by mananth)

An automobile travels 240 miles in the same time in which a small plane travels 600... (answered by mananth)

. Two trains are travelling towards each other from 200 miles apart on the same track:... (answered by mananth)

Please help with this equation!!!!!! If a plane travels 1050 miles in the amount of time (answered by ikleyn)

An automobile travels at the rate of 55 miles per hour on the Pennsylvania Turnpike. How... (answered by ankor@dixie-net.com)