SOLUTION: a man traveling an hour by car and another hour by plane covered a total distance of 850km. if the average speed of the plane taken by the man was 16 times that of the car. what wa

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Question 549566: a man traveling an hour by car and another hour by plane covered a total distance of 850km. if the average speed of the plane taken by the man was 16 times that of the car. what was the distance covered by the car??????
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let d = distance covered by car
Let s = speed of car
given:
equation for car:
(1) +d+=+s%2A1+ km
equation for plane:
(2) +850+-+d+=+16%2As%2A1+
------------------
This is 2 equations and 2 unknowns,
so it's solvable
Substitute (1) into (2)
(2) +850+-s+=+16s+
(2) +17s+=+850+
(2) +s+=+50+
and, since
(1) +d+=+s%2A1+
(1) +d+=+50+
The distance covered by the car was 50 km