document.write( "Question 1058945:
\n" ); document.write( "At first a runner jogs at 5 mph and then jogs at 8 mph traveling 7 miles in 1.1 hours. How long does the runner jog at each speed. (Hint: Let t represent the amount of time the runner jogs at 5 mph. Then 1.1 - t represents the amount of time the runner jogs at 8 mph.) Set up an equation for distance at 5 mph + distance at 8 mph = 7miles. \n" ); document.write( "

Algebra.Com's Answer #674026 by ikleyn(52799) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "At first a runner jogs at 5 mph and then jogs at 8 mph traveling 7 miles in 1.1 hours. How long does the runner jog at each speed.
\n" ); document.write( "(Hint: Let t represent the amount of time the runner jogs at 5 mph. Then 1.1 - t represents the amount of time the runner jogs at 8 mph.)
\n" ); document.write( "Set up an equation for distance at 5 mph + distance at 8 mph = 7miles.
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\n" ); document.write( "\n" ); document.write( "They just explained you how to start your solution:
\n" ); document.write( "So, I will start as they recommend:\r
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document.write( "\"Let t represent the amount of time the runner jogs at 5 mph.\"\r\n" );
document.write( "\"Then 1.1 - t represents the amount of time the runner jogs at 8 mph.\"\r\n" );
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document.write( "During time \"t\" hours the runner jogs the distance of 5*t miles.\r\n" );
document.write( "During time 1.1-t hours the runner jogs the distance 8*(1.1-t) miles.\r\n" );
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document.write( "In all, the runner will jog 5t + 8*(1.1-t) miles.\r\n" );
document.write( "Since it is 7 miles, you have this equation\r\n" );
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document.write( "5t + 8*(1.1-t) = 7.\r\n" );
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document.write( "Simplify and solve for \"t\":\r\n" );
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document.write( "5t + 8.8 - 8t = 7,\r\n" );
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document.write( "-5t = 7 - 8.8,\r\n" );
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document.write( "-3t = -1.8,\r\n" );
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document.write( "t =  = 0.6.\r\n" );
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document.write( "Hence, the runner jogs 0.6 hour = 36 minutes at 5 mph.\r\n" );
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document.write( "The rest of time, 1.1 hour minus 0.6 hour = 0.5 hour = 30 minutes, the runner jogs t 8 mph.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "And forget on using tables (as \"josgarithmetic\" recommend) if you want to learn on how to solve such problems.\r
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