SOLUTION: A train traveling at a speed of 30 mph passes point A on its way to point B. At the same time, on a parallel track, another train traveling at a speed of 70 mph passes point B on i

Question 927373: A train traveling at a speed of 30 mph passes point A on its way to point B. At the same time, on a parallel track, another train traveling at a speed of 70 mph passes point B on its way to point A. If point A and point B are 300 miles apart, how far from point B will the trains meet?
(F) 240 mi
(G) 210 mi
(H) 150 mi
(J) 140 mi
(K) 90 mi
Found 2 solutions by TimothyLamb, lwsshak3:
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
relative speed of the two trains:
70 + 30 = 100 mph
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time when the trains meet:
s = d/t
t = d/s
t = 300/100
t = 3 hours
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distance traveled by the train that starts at point B, when the trains meet:
d = st
d = 70*3
d = 210 miles
---
answer:
(G) 210 mi
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Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
A train traveling at a speed of 30 mph passes point A on its way to point B. At the same time, on a parallel track, another train traveling at a speed of 70 mph passes point B on its way to point A. If point A and point B are 300 miles apart, how far from point B will the trains meet?
***
Trains are effectively approaching each other at a speed=70+30=100 mph
At 100 mph, they will meet in 300/100=3 hrs
At 70 mph,the train on the way to point A will be 3*70=210 mi from point B
ans (G)
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