SOLUTION: please help me with this solution. I am not getting the right answer. John plans a road trip from Chicago to Detroit in his Toyota with an overnight stay in Hammond,Indiana. On We

Algebra ->  Linear-equations -> SOLUTION: please help me with this solution. I am not getting the right answer. John plans a road trip from Chicago to Detroit in his Toyota with an overnight stay in Hammond,Indiana. On We      Log On


   



Question 178444: please help me with this solution. I am not getting the right answer.
John plans a road trip from Chicago to Detroit in his Toyota with an overnight stay in Hammond,Indiana. On Wednesday, he drove from Chicago to Hammond to Detroit at an average speed of 69 mph. His driving time on Thursday is 2 hours longer than his driving time on Wednesday. If the total distance from Chicago to Detroit is 326 miles, then what is the total number of hours he drove on both days? How far is Detroit from Hammond?
Thank you.

Answer by Mathtut(3670) About Me  (Show Source):
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please help me with this solution. I am not getting the right answer.
John plans a road trip from Chicago to Detroit in his Toyota with an overnight stay in Hammond,Indiana. On Wednesday, he drove from Chicago to Hammond to Detroit at an average speed of 69 mph. His driving time on Thursday is 2 hours longer than his driving time on Wednesday. If the total distance from Chicago to Detroit is 326 miles, then what is the total number of hours he drove on both days? How far is Detroit from Hammond?
Thank you.
:
in order to get time we must divide total miles driven by the average speed
:
326+%28mi%29%2A%28+1%2F69%29+%28hr%2Fmi%29=4.72+%28hr%29of drive time
:
if drive time from Chicago to Hammond = t and drive time from Hammond to Detroit is r=t+2 then
:
t+(t+2)=4.72
:
2t=2.72
:
t=1.36hours driven from Chicago to Hammond
:
r=t%2B2=1.36%2B2=3.36hours driven from Hammond to Detroit
:
so since he drove for 3.36 hours @ 69mph then the distance from Hammond to Detroit is highlight%283.36%2869%29=231.84%29 miles