Question 253799: A train traveling at a speed of 30 miles per hours 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 miles per hours 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?
(A) 240 miles (B) 210 miles (C) 150 miles (D) 140 miles (E) 90 miles
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A train traveling at a speed of 30 miles per hours 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 miles per hours 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?
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Draw the picture.
Slower train DATA:
rate = 30 mph ; time = x hrs. ; distance = 30x miles
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Faster train DATA:
rate = 70 mph ; time = x hrs. ; distance = 70x miles
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Equation:
distance + distance = 300 miles
30x + 70x = 300
100x = 300
x = 3 hrs.
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Distance from B: 70mph*3 hr = 210 miles from B
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Cheers,
Stan H.
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(A) 240 miles (B) 210 miles (C) 150 miles (D) 140 miles (E) 90 miles
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