SOLUTION: Jim drove his truc 500 kilometeres in the same time that Ed drove his truck 450 kilometers. Jim drove 5 kilometeres an hour faster than Ed. Find the speed of each man.

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Question 159417: Jim drove his truc 500 kilometeres in the same time that Ed drove his truck 450 kilometers. Jim drove 5 kilometeres an hour faster than Ed. Find the speed of each man.
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

Remember: Speed=Distance%2Ftime --> time=Distance%2FSpeed, EQN 1
Speed of Jim = S%5BJ%5D
Speed of Ed =  S%5BE%5D
Since they travel at the same, time for Jim equals time for Ed, it follows as per EQN 1:
D%5BJ%5D%2FS%5BJ%5D=D%5BE%5D%2FS%5BE%5D
500km%2FS%5BJ%5D=450km%2FS%5BE%5D, cross multiply
450S%5BJ%5D=500S%5BE%5D, EQN 2
But also remember, S%5BJ%5D=S%5BE%5D%2B+5%28km%2Fhr%29, Jim is faster 5km/hr right? Substitute in EQN 2
450%28S%5BE%5D%2B5%29=500S%5BE%5D
450S%5BE%5D%2B2250=500S%5BE%5D
500S%5BE%5D-450S%5BE%5D=2250km
50S%5BE%5D=2250 --------> cross%2850%29S%5BE%5D%2Fcross%2850%29=cross%282250%2945%2Fcross%2850%29
S%5BE%5D=45km%2Fhr ---------------------------> Speed of Ed
S%5BJ%5D=45%2B5=50km%2Fhr ----------------------> Speed of Jim
In doubt? Go back EQN 1:
500cross%28km%29%2F50%28cross%28km%29%2Fhr%29=450cross%28km%29%2F%2845cross%28km%29%2Fhr%29
10hours=10hours
Thank you,
Jojo