SOLUTION: At 9am two bicyclists heading in opposite directions pass eachother on a bicycle path. The bike heading north is riding 8km/hour FASTER than the bike heading south. At 1030 they ar

Question 161015: At 9am two bicyclists heading in opposite directions pass eachother on a bicycle path. The bike heading north is riding 8km/hour FASTER than the bike heading south. At 1030 they are 36km apart. Find the two bikes rates and show you got your answers
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
At 9am two bicyclists heading in opposite directions pass each other on a bicycle path. The bike heading north is riding 8km/hour FASTER than the bike heading south. At 1030 they are 36km apart. Find the two bikes rates and show you got your answers
:
Let s = speed of the southbound bike
then
(s+8) = speed of the northbound bike
:
Find the travel time (since they met) of the bikes: 10;30 - 9:00 = 1.5 hrs
:
Write a distance equation; Dist = time * speed
:
South dist = north dist = 36 mi
1.5s + 1.5(s+8) = 36
1.5s + 1.5s + 12 = 36
3s = 36 - 12
s =
s = 8 mph speed of the southbound bike
and
8 + 8 = 16 mph speed of the northbound bike
:
:
Check solution by finding the total distance
1.5(8) + 1.5(16) =
12 + 24 = 36
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