Friday

January 30, 2015

January 30, 2015

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

**Answer this Question**

**Related Questions**

math - You drove 2695 miles in 35 hours. (1) What is your average rate of change...

College Mathematics - You drove 2695 miles in 35 hours. (1) What is your average...

algebra - It takes Tammy 45 minutes to ride her bike 5 miles. At this rate, how ...

MATH - We do not provide the units for your answers. Do no type them in the ...

math - Use an inequality to solve the problem. Be sure to show the inequality ...

math - Mr. Mitchells office is on a winding side road next to a highway exit.He ...

math - It takes Tammy 45 minutes to ride her bike 5 miles. At this rate, how ...

math - Ted, a triathlete, can swim 1.2 miles in 25 minutes, bike 56 miles in 2 ...

algebra - the time it takes you to get to campus varies inveresly as your ...

Algebra - Mrs. Lewis plans to drive 900 miles to her vacation destination, ...