document.write( "Question 279596: Pablo can drive 5 times as fast as Oscar can ride his bicycle. If it takes Oscar 4 hours longer than Pablo to travel 90 miles, how fast can Oscar ride his bicycle? \n" ); document.write( "

Algebra.Com's Answer #854174 by greenestamps(13326) $\"\"$ $\"About$

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\n" ); document.write( "The ratio of the two speeds is 5:1.

\n" ); document.write( "Oscar takes 4 hours more than it takes Pablo to travel the 90 miles. If t is the number of hours Pablo takes to travel the 90 miles, then t+4 is the number of hours it takes Oscar to travel those 90 miles.

\n" ); document.write( "Since the distances are the same, the ratio of the two times is 5:1.

\n" ); document.write( "(t+4):t = 5:1

\n" ); document.write( " $\"%28t%2B4%29%2Ft=5%2F1\"$
\n" ); document.write( " $\"5t=t%2B4\"$
\n" ); document.write( " $\"4t=4\"$
\n" ); document.write( " $\"t=1\"$

\n" ); document.write( "It takes Oscar t+4 = 5 hours to travel the 90 miles, so his speed is 90/5 = 18 mph.

\n" ); document.write( "ANSWER: 18 mph

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