# One car travels 270 miles in the same amount of time it takes a second car traveling 6 miles per hour slower than the first to go 234 miles. What are the speeds of the cars?

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Jim G.
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Feb 9, 2018

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#"using the formula"#

#• " average speed (S)"="distance (D)"/"time (T)"#

#T" is a constant quantity here"#

#color(blue)"car 1"#

#S=270/TrArrST=270to(1)#

#color(blue)"car 2"#

#S-6=234/TrArrST-6T=234to(2)#

#"subtract "(2)-(1)#

#rArr6T=270-234=36#

#rArrT=36/6=6" hours"#

#rArrcolor(blue)"car 1"toS=270/6=45" mph"#

#rArrcolor(blue)"car 2 "toS=234/6=39" mph"#

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Victoria E.
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Feb 9, 2018

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Car one speed is x, and car 2 speed is x-6

Both cars travel same amount of time. d= v x t so t= d/v

set the two times equal and solve for x

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