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August 20, 2014

August 20, 2014

Posted by **Brandy** on Friday, May 15, 2009 at 4:57pm.

You drive 92 miles along a scenic highway and then take a 37-mile bike ride. Your driving rate is 4 times your cycling rate. Suppose you have no more than a total of 4 hours for driving and cycling. Let x represent your cycling rate in miles per hour. Use a rational inequality to determine the possible values of x.

- Algebra 2 -
**Damon**, Friday, May 15, 2009 at 5:16pmTd = time driving

Tb = time biking

Td + Tb </= 4

92 = (4x) Td

37 = x Tb

so

Td = 23/x

Tb = 37/x

then

23/x + 37/x </= 4

or

23 + 37 </= 4x

60 </= 4x

15 </= x

or

x >/= 15 miles per hour

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