document.write( "Question 1170811: Two hikers, Juan and Pedro started from the same place at the same time towards Arayat which is 90 kilometers away from their place. Pedro traveled 1 kilometer per hour faster than Juan and reached Arayat 1 hour before him. Find the rate of each hiker \n" ); document.write( "

Algebra.Com's Answer #795775 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Two hikers, Juan and Pedro started from the same place at the same time towards Arayat which is 90 kilometers away from their place.
\n" ); document.write( " Pedro traveled 1 kilometer per hour faster than Juan and reached Arayat 1 hour before him.
\n" ); document.write( " Find the rate of each hiker
\n" ); document.write( ":
\n" ); document.write( "let j = Juan's hiking rate
\n" ); document.write( "then
\n" ); document.write( "(j+1) = Pedro's hiking rate
\n" ); document.write( ":
\n" ); document.write( "Write a time equation; time = dist/rate
\n" ); document.write( ":
\n" ); document.write( "J's time - P's time = 1 hr
\n" ); document.write( " $\"90%2Fj\"$ - $\"90%2F%28%28j%2B1%29%29\"$ = 1
\n" ); document.write( "multiply equation by j(j+1), cancel the denominators
\n" ); document.write( "90(j+1) - 90j = j(j+1)
\n" ); document.write( "90j + 90 - 90j = j^2 + j
\n" ); document.write( "arrange as quadratic equation
\n" ); document.write( "j^2 + j - 90 = 0
\n" ); document.write( "Factors to
\n" ); document.write( "(j+10)(j-9) = 0
\n" ); document.write( "The positive solution
\n" ); document.write( "j = 9 mph is J's hiking rate
\n" ); document.write( "then, obviously, 10 km/h is Pedro's
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solution
\n" ); document.write( "90/9 - 90/10 =
\n" ); document.write( "10 - 9 = 1 \n" ); document.write( "

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