document.write( "Question 486469: I ihave two problems and need the detailed answers asap
\n" ); document.write( "1.Jogging: Two athletes jog 10 miles. One of the athletes jogs 2 miles per hour faster and finishes 10 minutes ahead of the other athlete. Find the average speed of each athlete.
\n" ); document.write( "2.Strength of a Beam: The strength of a beam varies jointly as its width w and the square of its thickness t. If a beam 8 inches wide and 5 inches thick supports 650 pounds, how much can a similar beam 6 inches wide and 6 inches thick support?
\n" ); document.write( "Please if I can get these asap Thank you so much \n" ); document.write( "
Algebra.Com's Answer #332612 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
1.Jogging: Two athletes jog 10 miles. One of the athletes jogs 2 miles per hour faster and finishes 10 minutes ahead of the other athlete.
\n" ); document.write( " Find the average speed of each athlete.
\n" ); document.write( "Let s = jogging speed of the athlete
\n" ); document.write( "then
\n" ); document.write( "(s+2) = jogging speed of the faster athlete
\n" ); document.write( ":
\n" ); document.write( "Change 10 min to \"1%2F6\" hr
\n" ); document.write( ":
\n" ); document.write( "Write a time equation
\n" ); document.write( ":
\n" ); document.write( "slower time - faster time = 10 min
\n" ); document.write( "\"10%2Fs\" - \"10%2F%28s%2B2%29\" = \"1%2F6\"
\n" ); document.write( "multiply by 6s(s+2), resulting in
\n" ); document.write( "6(s+2)*10 - 6s(10) = s(s+2)
\n" ); document.write( ":
\n" ); document.write( "10(6s+12) - 60s = s^2 + 2s
\n" ); document.write( ":
\n" ); document.write( "60s + 120 - 60s = s^2 + 2s
\n" ); document.write( "Arrange to form a quadratic equation
\n" ); document.write( "s^2 + 2s - 120 = 0
\n" ); document.write( "Factors to
\n" ); document.write( "(s+12)(s-10) =
\n" ); document.write( "positive solution
\n" ); document.write( "s = 10 mph is the speed of the slower
\n" ); document.write( "then
\n" ); document.write( "10+2 = 12 mph is the speed of the faster
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "2.Strength of a Beam: The strength of a beam varies jointly as its width w and the square of its thickness t.
\n" ); document.write( "S = w*t^2*k,where k = the variation constant
\n" ); document.write( ":
\n" ); document.write( "If a beam 8 inches wide and 5 inches thick supports 650 pounds,
\n" ); document.write( "Find k
\n" ); document.write( "8*5^2*k = 650
\n" ); document.write( "200k = 650
\n" ); document.write( "k = \"650%2F200\"
\n" ); document.write( "k = 3.25
\n" ); document.write( ":
\n" ); document.write( "how much can a similar beam 6 inches wide and 6 inches thick support?
\n" ); document.write( "s = 6 *6^2*3.25
\n" ); document.write( "s = 702 lb can be support by a 6 by 6\" beam \n" ); document.write( "
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