SOLUTION: Two race cars start from the same place and race off in the same direction. The speeds of the two cars are 10 and 60 mph respectively. How far from the starting point will the two

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Question 768994: Two race cars start from the same place and race off in the same direction. The speeds of the two cars are 10 and 60 mph respectively. How far from the starting point will the two meet if the second car left 10 hours after the first car?
Found 2 solutions by josmiceli, stanbon:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
What is the 1st car's head start?
+d%5B1%5D+=+10%2A10+=+100+ mi
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Start a stopwatch when the 2nd car leaves
Let +t+ = the time on the stopwatch in
hours when they meet
Let +d+ = rhe distance in miles that the
2nd car travels in time +t+
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1st car's equation:
(1) +d+-+100+=+10t+
2nd car's equation:
(2) +d+=+60t+
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By substitution:
(1) +60t+-+100+=+10t+
(1) +50t+=+100+
(1) +t+=+2+
and
(2) +d+=+60%2A2+
(2) +d+=+120+
The cars meet 120 miles from the starting point
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check:
(1) +d+-+100+=+10t+
(1) +d+-+100+=+10%2A2+
(1) +d+=+120+
OK

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Two race cars start from the same place and race off in the same direction. The speeds of the two cars are 10 and 60 mph respectively. How far from the starting point will the two meet if the second car left 10 hours after the first car?
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1st car DATA:
rate:: 10 mph ; time = x hrs ; distance = 10x miles
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2nd car DATA:
rate = 60 mph ; tme = x-10 hrs ; distance = 60x-600 miles
======================
Equation:
distance = distance
10x = 60x-600
50x = 600
x = 120 hrs
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How far???
distance to meeting point = 10x = 1200 miles
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Cheers,
Stan H.
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