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At 9:00 on Saturday morning, two bicyclists heading in opposite directions pass each other on a bicycle path The bicyclists headed north is riding 5 km/hour faster than the bicyclists headed south. At 10:45, they are 47.25 km apart find the two bicyclists' rates

 Nov 2, 2016
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Time involved = 900 to 1045 = 1.75 hr

 

x= speed of slower cyclist

1.75 hr * x = distance of slower cyclist

 

x+5 = faster cyclist's speed

1.75 hr *(x+5)  = distance of faster cyclist

 

the two distances added together = 47.25

 

1.75 x  + 1.75(x+5) = 47.25

3.5x + 8.75 = 47.25

3.5x = 38.5

x=11 km/hr = slower cyclist

x=5=16 km/hr = faster cyclist

 Nov 2, 2016

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