SOLUTION: A freight train leaves a station at 5 A.M and travels North at 55 mph. At 6 A.M, a passanger train leaves on a parallel track and travels North at 60 mph. How long will it take the
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Question 526286: A freight train leaves a station at 5 A.M and travels North at 55 mph. At 6 A.M, a passanger train leaves on a parallel track and travels North at 60 mph. How long will it take the passanger train to overtake the freigh train?
You can put this solution on YOUR website! Start with the distance equation: d=r*t
.
Train 1.
d = 55t
.
Train 2.
d = 60(t-1)
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When Train 2 overtakes Train 1, they will have traveled the same distance.
.
d=d
so
55t = 60(t-1)
55t = 60t -60
-5t = -60
t = 12
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Train 1 will have been traveling for 12 hr when Train 2 overtakes it.
Train 2 will have been traveling for 11 hr when it overtakes Train 1.
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Check: Will they have traveled the same distance?
55*12 = 660
60*11 = 660
Correct.
.
Done.
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