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Karen can jog to work in 2/3 of an hour. When she rides her bike, it takes her 1/4 of an hour. If she rides 11 miles per hour faster than she jogs, how far away is her work?
First find her speed by writing a distance equation, dist = time * speed
let s = K's jogging speed
(s+11) = biking time
4(2s) = 3(s+11)
8s = 3s + 33
8s - 3s = 33
5s = 33
s = 6.6 mph is the jogging speed
6.6 + 11 = 17.6 mph is her biking speed
Find the distance with the jogging speed
*6.6 = 4.4 mi is the distance to word
Confirm the distance using the biking speed