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avatar+722 

Duane rode his bike at 14 miles per hour for 3 hours, then put the bike down and began walking at miles 2 per hour. Elizabeth started jogging at 6 miles per hour along the same path at the same time that Duane started biking. When she reached the bike, she began riding it at 12 miles per hour. How many hours will it have been since they started when Elizabeth catches up to Duane?

 Apr 5, 2020
 #1
avatar+722 
+2

someone, please

 Apr 5, 2020
 #2
avatar+23697 
+1

In 3 hours   D   rides  14 m/h x 3 hr = 42 miles      at the same time    Elizabeth covers 18 miles running

D ditches his bike      Elizabeth still has to run 24 miles to the bike   which will take her 4 more hours at 6m/hr

     in that 4 hours D  covers  8 miles walking       Elizabeth starts riding  12 m/hr   which is 10 m/r faster than D is walking

          she will close that 8 miles  in   8/10 of an hour  and catch D
 

 

3 hours   +  4 hours   +  8/10 hr   =    7  4/5  hours after they started

 Apr 5, 2020

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