Two cars leave towns
750
kilometers apart at the same time and travel toward each other. One car's rate is
18
kilometers per hour more than the other's. If they meet in
5
hours, what is the rate of the faster car?
Do not do any rounding.
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OpenStudy (anonymous):
18x*5x=750
ganeshie8 (ganeshie8):
this is slightly different from previous problem
we need to be a lil bit careful here
ganeshie8 (ganeshie8):
see you're not given speeds of cars, you're given how much faster one car is compared to the other
ganeshie8 (ganeshie8):
say the speed of faster car is \(x\)
then the speed of slower car would be \(x-18\)
yes ?
OpenStudy (anonymous):
18 and 5
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OpenStudy (anonymous):
yes?
ganeshie8 (ganeshie8):
and you know they travel exactly 750 kilometers by the time they meet (in 5 hours)
ganeshie8 (ganeshie8):
\[5x + 5(x-18) = 750\]
solve \(x\)
OpenStudy (anonymous):
5x+5x-90=750
10x-90=750
10x=840
x=84
ganeshie8 (ganeshie8):
yes thats the speed of faster car
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OpenStudy (anonymous):
thanks i think thats it for know u are great talk to u later