SOLUTION: Two trains start at the same time from two stations and proceed towards each other with speeds 40 km/hr and 45 km/hr respectively.When they meet it is found that one train has trav

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Question 771246: Two trains start at the same time from two stations and proceed towards each other with speeds 40 km/hr and 45 km/hr respectively.When they meet it is found that one train has traveled 40 km more than the other. Find the distance between the two stations?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +d+ = the distance the slower train travels in km
+d+%2B+40+ = the distance the faster train travels in km
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+d+=+40t+
+d+%2B+40+=+45t+
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+t+=+d%2F40+
By substitution:
+d+%2B+40+=+45%2A%28+d%2F40+%29+
+40d+%2B+1600+=+45d+
+5d+=+1600+
+d+=+320+
The distance between the stations is
+d+%2B+d+%2B+40+=+320+%2B+320+%2B+40+
+2d+%2B+40+=+680+
680 km
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check:
+d+=+40t+
+320+=+40t+
+t+=+8+
and
+d+%2B+40+=+45t+
+320+%2B+40+=+45t+
+45t+=+360+
+t+=+8+
OK