document.write( "Question 986953: At first an athlete jogs at 5 miles per hour and then jogs at 8 miles per hour, traveling 12 miles in 1.8 hours. How long does the athlete jog at each speed? (Hint: Let t represent the amount of time the athlete jogs at 5 mph. Then 1.8 -t represents the amount of time the athlete jogs at 8 mph.)\r
\n" ); document.write( "\n" ); document.write( "The athlete jogged ____ hour(s) at a speed of 5 miles per hour and ____ hour(s) at a speed of 8 miles per hour. (Type integers or decimals.) \n" ); document.write( "

Algebra.Com's Answer #607751 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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At first an athlete jogs at 5 miles per hour and then jogs at 8 miles per hour, traveling 12 miles in 1.8 hours.
\n" ); document.write( " How long does the athlete jog at each speed? (Hint: Let t represent the amount of time the athlete jogs at 5 mph. Then 1.8 -t represents the amount of time the athlete jogs at 8 mph.)
\n" ); document.write( ":
\n" ); document.write( "Write a distance equation; dist = speed * time
\n" ); document.write( "dist@5 + dist@8 = 12 miles
\n" ); document.write( "5t + 8(1.8-t) = 12
\n" ); document.write( "5t + 14.4 - 8t = 12
\n" ); document.write( "5t - 8t = 12 - 14.4
\n" ); document.write( "-3t = -2.4
\n" ); document.write( "t = $\"%28-2.4%29%2F%28-3%29\"$
\n" ); document.write( "t = .8 hrs at 5 mph
\n" ); document.write( "I'll let you find how long at 8 mph
\n" ); document.write( ":
\n" ); document.write( "The athlete jogged ____ hour(s) at a speed of 5 miles per hour and ____ hour(s) at a speed of 8 miles per hour. (Type integers or decimals.) \n" ); document.write( "

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