SOLUTION: Andrew travelled a distance of 39 km by jogging for 4 hours and cycling for 3 hours. He could have travelled the same distance by jogging for 7 hours and cycling for 2 hours. Find

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Question 1109569: Andrew travelled a distance of 39 km by jogging for 4 hours and cycling for 3 hours. He could have travelled the same distance by jogging for 7 hours and cycling for 2 hours. Find the speed at which he was jogging and the speed at which he was cycling.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
j, speed jogging
c, speed bicycling
system%284j%2B3c=39%2C7j%2B2c=39%29

system%288j%2B6c=78%2C21j%2B6c=117%29

21j-8j=117-78
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system%28j=3%2Cand%2Cc=9%29