Question 73107
At noon, two trains leave from towns 175 miles apart. One train averages 40 mph and the other averages 30 mph. At what time do they meet? (Remeber: distance= rate*time)
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Train One DATA:
Distance: x : Rate= 40 mph ; Time = d/r = x/40 hrs

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Train Two DATA:
Distance: 175-x miles ; Rate = 30 mph ; Time = d/r = (175-x)/30 hrs

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EQUATION:
Time One = Time Two
x/40 = (175-x)/30
Cross-multiply to get:
30x = 40(175-x)
 3x = 4(175-x)
 3x = 700 -4x
7x = 700
x=100 miles
Time = x/40 = 100/40 = 2.5 hrs

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Cheers,
Stan H.