SOLUTION: emma and shane live 50 miles away from each other and decide to take their bicycles to meet. emma leaves at 7am towards Shane at 18 mph. shane leaves at 7:20am towards emma at 23

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: emma and shane live 50 miles away from each other and decide to take their bicycles to meet. emma leaves at 7am towards Shane at 18 mph. shane leaves at 7:20am towards emma at 23      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 38346: emma and shane live 50 miles away from each other and decide to take their bicycles to meet. emma leaves at 7am towards Shane at 18 mph. shane leaves at 7:20am towards emma at 23 mph. how long is each person riding when they meet?
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
The important equation here is D = RT, distance = rate*time.
Emma travels for twenty minutes at 18 mph before Shane leaves, and thus covers six miles in that time. At 7:20, they are 44 miles apart. They approach each other at a combined rate of 41 mph, so they travel for 44/41 hours until they meet. So Emma travels for 44/41 + 1/3 hours and Shane travels for just 44/41 hours.