# SOLUTION: 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?

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Travel -> SOLUTION: 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?      Log On

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 Click here to see ALL problems on Travel Word Problems Question 365563: 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?Answer by ankor@dixie-net.com(15649)   (Show Source): You can put this solution on YOUR website!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 then (s+11) = biking time : s = (s+11) Cross multiply 4(2s) = 3(s+11) 8s = 3s + 33 8s - 3s = 33 5s = 33 s = s = 6.6 mph is the jogging speed then 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 *17.6= 4.4