SOLUTION: Lem runs 10 mps. Uel runs 6 mps. With a 50 m head start for Uel, how long will it take Lem to catch up with Uel?

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Question 512012: Lem runs 10 mps. Uel runs 6 mps. With a 50 m head start for Uel, how long will it take Lem to catch up with Uel?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let d = distance Lem has to go
+d+-+50+ = distance Uel has to go
Let +t = time that it takes Lem to catch Uel
given:
For Uel:
(1) +d+-+50+=+6t+
For Lem:
(2) +d+=+10t+
-------------
Substitute (2) into (1)
(1) +10t+-+50+=+6t+
(1) +4t+=+50+
(1) +t+=+12.5+ sec
check:
(1) +d+-+50+=+6%2A12.5+
(1) +d+-+50+=+75++
(1) +d+=+125+ m
and
(2) +d+=+10%2A12.5+
(2) +d+=+125+ m
OK