Advanced Algebra

1.Two cyclists start biking from a trail's start 3 hours apart. The second cyclist travels at 10 miles per hour and starts 3 hours after the first cyclist who is traveling at 6 miles per hour. How much time will pass before the second cyclist catches up with the first from the time the second cyclist started biking? 
a)2 hours 
b)4 ½ hours 
c)5 ¾ hours 
d)6 hours 
e)7 ½ hours

2.If the average of three numbers is V. If one of the numbers is Z and another is Y, what is the remaining number? 
a)ZY-V 
b)Z/V − 3 − Y 
c)Z/3 − V-Y 
d)3 V-Z-Y 
e)V-Z-Y

3.Jim can fill a pool carrying bucks of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 ½ hours. How quickly can all three fill the pool together? 
a)12 minutes 
b)15 minutes 
c)21 minutes 
d)23 minutes 
e)28 minutes

4.Mary is reviewing her algebra quiz. She has determined that one of her solutions is incorrect. Which one is it? 
a)2 x + 5 (x − 1) = 9 x = 2 
b)P − 3 (P − 5) = 10 p = 2.5 
c)4 y + 3 y = 28 y = 4 
d)5 w + 6 w = 3W = 64 w = 8 
e)t − 2t − 3t = 32 t = 8


5.What simple interest rate will Susan need to secure to make $2, 500 in interest on a $10, 000 principal over 5 years? 
a)4% 
b)5 %
 c)6%
 d)7% 
e)8%