SOLUTION: A cyclist traveled 9 kilometers per hour faster than an in-line skater. In the time it took the cyclist to travel 45 kilometers, the skater had gone 30 kilometers. Find the speed o

Algebra.Com
Question 1033670: A cyclist traveled 9 kilometers per hour faster than an in-line skater. In the time it took the cyclist to travel 45 kilometers, the skater had gone 30 kilometers. Find the speed of the skater.
Answer by jorel555(1290)   (Show Source): You can put this solution on YOUR website!
Let x=speed of skater, in kilometers per hour;
x+9=speed of the cyclist; thus:
45/(x+9)=30/(x)
45x=30x+270
15x=270
x=18
x+9=27.
Let's check:
45/27=1.6666666
30/18=1.6666666 !!!!!!!!

RELATED QUESTIONS

applied rational equations A cyclist traveled 9 kilometer per hour faster than an... (answered by rfer)
3.[4pts] A cyclist traveled 12 kilometers per hour faster than an in-line skater. In the... (answered by ikleyn)
A cyclist traveled 10 kilometers per hour faster than an in-line skater. In the time... (answered by jorel555)
A cyclist traveled 20 kilometers per hour faster than an in-line skater. In the time it... (answered by ikleyn)
A cyclist traveled 15 kilometers per hour faster than an in-line skater. In the time it... (answered by rothauserc)
a cyclist traveled 20 kilometers per hour faster than an in-line skater. In the time it... (answered by mananth)
A cyclist traveled 15 km per hour faster than an in-line skater. In the time it took the... (answered by Fombitz)
a cylclist travled 9km per hour faster than an in line skater. in the time it took the... (answered by stanbon,advanced_Learner)
A cyclist to travel to 20 km/h faster than an in-line skater. In the time it took the... (answered by jorel555)