SOLUTION: Cyclist A took 2 hours to travel from Town X to Town Y. Cyclist B took 45 minutes less to cover the same distance as he traveled at a speed faster by 3 km/h. Find the distance from

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Cyclist A took 2 hours to travel from Town X to Town Y. Cyclist B took 45 minutes less to cover the same distance as he traveled at a speed faster by 3 km/h. Find the distance from      Log On

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Question 323483: Cyclist A took 2 hours to travel from Town X to Town Y. Cyclist B took 45 minutes less to cover the same distance as he traveled at a speed faster by 3 km/h. Find the distance from Town X to Town Y.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Write 2 equations, 1 for A and 1 for B
For A:
d+=+r%2At
t+=+2
d+=+r%2A2
For B:
d+=+%28r+%2B+3%29%2A%282+-+3%2F4%29
Note that you must convert 45 min to 3/4 hr

8r+=+5r+%2B+15
3r+=+15
r+=+5
and, since
d+=+2r
d+=+10
The distance between the towns in 10 km
check answer:
d+=+%28r+%2B+3%29%2A%282+-+3%2F4%29
10+=+%285+%2B+3%29%2A%285%2F4%29
10+=+8%2A%285%2F4%29
10+=+10
OK