document.write( "Question 1167590: Stanley practices his running, swimming and biking every day. During these practices he runs at 9 mph, bikes at 16 mph and swims at 2.5 mph. Yesterday he ran for half an hour longer than he swam, and his biking time was twice his running time. How long did Stanley run, swim, and bike yesterday if the total distance he covered was 64 miles?
\n" ); document.write( "(a) If Stanley swam for t hours yesterday, what was his running time?
\n" ); document.write( "(b) In terms of t, how long did Stanley bike yesterday?
\n" ); document.write( "(c) What distance did Stanley covered while swimming?
\n" ); document.write( "(d) What distance did Stanley covered while running?
\n" ); document.write( "(e) What distance did Stanley covered while biking?
\n" ); document.write( "(f) What was the total distance Stanley covered during practices in terms of t?
\n" ); document.write( "(g) Write the equation that will allow you to find the practice time.
\n" ); document.write( "(h) For how long did Stanley swim, run, and bike yesterday?\r
\n" ); document.write( "\n" ); document.write( "I know someone else asked this but the answers were wrong \n" ); document.write( "

Algebra.Com's Answer #852018 by MathTherapy(10551) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "Stanley practices his running, swimming and biking every day. During these practices he runs at 9 mph, bikes at 16 mph and swims at 2.5 mph. Yesterday he ran for half an hour longer than he swam, and his biking time was twice his running time. How long did Stanley run, swim, and bike yesterday if the total distance he covered was 64 miles? \r\n" );
document.write( "(a) If Stanley swam for t hours yesterday, what was his running time? \r\n" );
document.write( "(b) In terms of t, how long did Stanley bike yesterday? \r\n" );
document.write( "(c) What distance did Stanley covered while swimming? \r\n" );
document.write( "(d) What distance did Stanley covered while running? \r\n" );
document.write( "(e) What distance did Stanley covered while biking? \r\n" );
document.write( "(f) What was the total distance Stanley covered during practices in terms of t? \r\n" );
document.write( "(g) Write the equation that will allow you to find the practice time. \r\n" );
document.write( "(h) For how long did Stanley swim, run, and bike yesterday?\r\n" );
document.write( "\r\n" );
document.write( "I know someone else asked this but the answers were wrong\r\n" );
document.write( "\r\n" );
document.write( "As requested, let time spent swimming, be t\r\n" );
document.write( "Since he ran half an hour longer than he swam, then time spent running = t +  hr, or (t + .5) hrs\r\n" );
document.write( "And, since his biking-time was twice his running-time, then biking time = 2(t + .5)\r\n" );
document.write( "\r\n" );
document.write( "As his running, biking and swimming speeds were 9 mph, 16 mph, and 2.5 mph, respectively, running, biking and swimming\r\n" );
document.write( "distances were 9(t + .5), 16(2)(t + .5), and 2.5t, respectively\r\n" );
document.write( "\r\n" );
document.write( "As he covered 64 miles, in total, we get the following DISTANCE equation:\r\n" );
document.write( "9(t + .5) + 16(2)(t + .5) + 2.5t = 64\r\n" );
document.write( "      9t + 4.5 + 32t + 16 + 2.5t = 64\r\n" );
document.write( "                           43.5t = 43.5\r\n" );
document.write( "      Time spent swimming, or \r\n" );
document.write( "\r\n" );
document.write( "a) He swam for t = 1 hour, and so, he ran for t + .5 = 1.5 hours\r\n" );
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document.write( "   Based on everything that was done above, you should be able to answer all other questions posed.

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