SOLUTION: Connor and Matt walk a 12 mile couse as part of a fitness program. Matt walks 1 mi/hr faster than Connor, and it takes him 1 hour less than Connor to complete the course. How long
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Question 452270: Connor and Matt walk a 12 mile couse as part of a fitness program. Matt walks 1 mi/hr faster than Connor, and it takes him 1 hour less than Connor to complete the course. How long does it take Connor to complete the course?
Answer by pedjajov(51) (Show Source): You can put this solution on YOUR website!
m - rate of Matt
c - rate of Connor
:
t1- time for Matt to walk the course
t2- time for Connor to walk the course
:
Distance passed by Matt is 12 mi -> ->
Distance passed by Connor is 12 mi -> ->
:
Matt walks 1mi/h faster than Connor ->
Matt finishes 1 hour before Connor -> ->
:
Substitute m from the first equation into the second
:
, multiply whole equation by c(c+1)
, distribute multiplication
, move everything to the left side
, combine
, this is quadratic equation that can be factorized
, solutions are c=3 and c=-4
:
Only acceptable solution is positive number so rate for Connor is 3mi/h
:
Time he needs to finish the course is = = 4 hours
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