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

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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)   (Show Source): You can put this solution on YOUR website!
Write 2 equations, 1 for A and 1 for B
For A:



For B:

Note that you must convert 45 min to 3/4 hr




and, since


The distance between the towns in 10 km
check answer:




OK

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