SOLUTION: Ali plans a road trip from Chicago to Detroit in his Honda Accord with an overnight stay in Hammond, Indiana. On Wednesday, he drove from Chicago to Hamond at an average speed of 4

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Question 186720: Ali plans a road trip from Chicago to Detroit in his Honda Accord with an overnight stay in Hammond, Indiana. On Wednesday, he drove from Chicago to Hamond at an average speed of 47 mph. On Thursday, he continued to drive from Hamond to Detroit at an average speed of 69 mph. His driving time on Thursday is 2 hours longer that 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 Hamond, IN?
Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website!
On Wednesday, he drove from Chicago to Hammond at an average speed of 47 mph.
On Thursday, he continued to drive from Hammond to Detroit at an average speed
of 69 mph. His driving time on Thursday is 2 hours longer that 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, IN?
:
Let t = time required to drive from Chi to Ham (Wednesday)
then
(t+2) = time to drive from Ham to Det (Thursday)
;
Write a distance equation: Dist = speed * time
;
47t + 69(t+2) = 326
47t + 69t + 138 = 326
116t = 326 - 138
116t = 188
t =
t = 1.62 hrs time from Chi to Ham
and
1.62+2 = 3.62 hrs time from Ham to Det
therefore:
1.62 + 3.62 = 5.24 hrs total two day drive time
:
:
Check solution by finding the total distance:
47*1.62 + 3.62*69 =
76.14 + 249.48 = 325.92 ~ 326 mi