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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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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Answer 1 · 2018-02-09T13:12:53

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

Explanation:

$270/x = 234/(x-6)$

$270(x-6) = 234x$

$270x-1620 = 234x$

$36x-1620= 0$

$36 x = 1620$

$x= 45mph$

Answer 2 · 2018-02-09T13:24:35

$45" mph and "39" mph"$

Explanation:

$"using the formula"$

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

$T" is a constant quantity here"$

$color(blue)"car 1"$

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

$color(blue)"car 2"$

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

$"subtract "(2)-(1)$

$rArr6T=270-234=36$

$rArrT=36/6=6" hours"$

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

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

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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?

2 Answers

Explanation:

Explanation:

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