math

julie travels 6 times faster then mill. Traveling in opposite directions, they are 714 miles apart afte 6 hours. Find the rate of travel

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1. first represent unknowns using variables:
let x = rate of Mill
let x+6 = rate of Julie
recall that rate (or speed) is the distance travelled over time, or:
v = d/t
therefore, since 714 miles is their distance after 6 hours, and noting that they travel in opposite directions:
v = d/t
rearranging to get d:
d = vt
714 = 6x + 6(x+6)
*we add the distances they travelled because they travel in opposite directions,, solving:
714 = 6x + 6x + 36
678 = 12x
x = 56.5 miles per hour
x+6 = 62.5 miles per hour

hope this helps~ :)

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