document.write( "Question 497677: Here is the question: You can jog at a speed of 8 miles per hour, and run at a speed of 12 miles per hour. If you traveled 6 miles in 40 minutes, find the amount of time you jogged as well as the amount of time you ran.\r
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Algebra.Com's Answer #336815 by htmentor(1343)\"\" \"About 
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Here is the question: You can jog at a speed of 8 miles per hour, and run at a speed of 12 miles per hour. If you traveled 6 miles in 40 minutes, find the amount of time you jogged as well as the amount of time you ran.
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\n" ); document.write( "Given: jogging speed = 8 mph, running speed = 12 mph
\n" ); document.write( "Let t = the time spent jogging [in hours]
\n" ); document.write( "Then 2/3 - t = the time spent running [in hours]
\n" ); document.write( "Let d = the distance traveled jogging
\n" ); document.write( "Then 6 - d = the distance traveled running
\n" ); document.write( "For the jogging speed we can write:
\n" ); document.write( "8 = d/t [1]
\n" ); document.write( "And for the running speed we can write:
\n" ); document.write( "12 = (6-d)/(2/3-t) [2]
\n" ); document.write( "Solve for d in [1] and substitute into [2]:
\n" ); document.write( "12 = (6-8t)/(2/3-t)
\n" ); document.write( "Solve for t:
\n" ); document.write( "8 - 12t = 6 - 8t
\n" ); document.write( "4t = 2
\n" ); document.write( "t = 1/2
\n" ); document.write( "So the time spent jogging is 30 mins, the time spent running is 10 mins.
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