SOLUTION: A car travels 50 miles in the same time that a plane travels 180 miles. The speed of the plane is 143 miles per hour faster than the speed of the car. Find the speed of the car

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Question 884702: A car travels 50 miles in the same time that a plane travels 180 miles. The speed of the plane is 143 miles per hour faster than the speed of the car. Find the speed of the car
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +s+ = the speed of the car in mi/hr
+s+%2B+143+ = the speed of the plane in mi/hr
----------------------------
Let +t+ = time in hrs for both
Equation for car:
(1) +50+=+s%2At+
Equation for plane:
(2) +180+=+%28+s%2B143+%29%2At+
-----------------------
(2) +180+=+s%2At+%2B+143t+
and
(1) +s+=+50%2Ft+
----------------
Substitute (1) into (2)
(2) +180+=+%2850%2Ft%29%2At+%2B+143t+
(2) +180+=+50+%2B+143t+
(2) +143t+=+130+
(2) +t+=+.909+
---------------
(1) +s+=+50%2Ft+
(1) +s+=+50%2F.909+
(1) +s+=+55+
------------------
The speed of the car is 55 mi/hr
check:
(2) +180+=+%28+s%2B143+%29%2At+
(2) +180+=+%28+55+%2B+143+%29%2A.909+
(2) +180+=+198%2A.909+
(2) +180+=+180+
OK