SOLUTION: Two cyclists, 90 mi apart, start riding toward each other at the same time. One cycles twice as fast as the other. If they meet 2h later, at what average speed is each cyclist trav

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Question 199039This question is from textbook algebra and trigonometry
: Two cyclists, 90 mi apart, start riding toward each other at the same time. One cycles twice as fast as the other. If they meet 2h later, at what average speed is each cyclist traveling? This question is from textbook algebra and trigonometry

Found 2 solutions by checkley75, jojo14344:
Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
D=RT
90=(X+2X)2
90=3X*2
90=6X
X=90/6
X=15 MPH FOR THE SLOWER CYCLIST.
2*15=30 MPH FOR THE FASTER CYCLIST.
PROOF;
90=(15+30)2
90=45*2
90=90

Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!


Just to show a small illustration here where the two Cyclists are:


We know Distance Formula = Speed x time

Both covered the Distance of 90miles in 2 hours:
S%5B1%5Dt%2BS%5B2%5Dt=90mi
*note: S%5B1%5D=2S%5B2%5D, Cyclist[1] is twice as fast Cyclist[2]

highlight%282S%5B2%5D%29%282hrs%29%2BS%5B2%5D%282hrs%29=90mi
4S%5B2%5D%2B2S%5B2%5D=90mi
6S%5B2%5D=90mi ---> cross%286%29S%5B2%5D%2Fcross%286%29=cross%2890%2915mi%2Fcross%286%29
red%28S%5B2%5D=15mph%29, Speed of C%5B2%5D

Also,
S%5B1%5D=2S%5B2%5D=2%2A15
red%28S%5B1%5D=30mph%29, Speed of C%5B1%5D

Check,
S%5B1%5Dt%2BS%5B2%5Dt=90mi
30%282%29%2B15%282%29=90mi
60%2B30=90
90mi=90mi

Thank you,
Jojo