SOLUTION: khang and hector live 30.6 miles apart in southeastern missouri. they decide to bicycle towards eachother and meet somewhere in between. hectors rate of speed is 70% of khangs. the

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Question 1161107: khang and hector live 30.6 miles apart in southeastern missouri. they decide to bicycle towards eachother and meet somewhere in between. hectors rate of speed is 70% of khangs. they start out at the same time and meet 3 hours later. find hectors rate of speed
Found 4 solutions by josgarithmetic, Alan3354, MathTherapy, ikleyn:
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
r, Hector's speed

3%28r%2F0.7%29%2B3r=30.6
-
3r%2B3%2A0.7r=30.6%2A0.7
3r%2B2.1r=21.42
5.1r=21.42
r=21.42%2F5.1
highlight%28r=4.2%29

cross%28r=6%29

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
rate of speed
================
There is no "rate of speed"
There's rate, and there's speed.
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Message approved by the Dept. of Redundancy Dept.

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!
Khang and Hector live 30.6 miles apart in southeastern Missouri. They decide to bicycle towards each other and meet somewhere in between. Hector's rate of speed is 70% of Khang's. They start out at the same time and meet 3 hours later. Find Hector's rate of speed.
The other person's claim that Hector's rate/speed is matrix%281%2C2%2C+6%2C+mph%29 is WRONG!! It's actually LESS!!

The presentation of this problem, in English, is very poor, so I made quite a few changes!

I really don't believe that itw's presented to you the way you presented it here!

Answer by ikleyn(52818) About Me  (Show Source):
You can put this solution on YOUR website!
,

Let x be the Khang' speed, in miles per hour.

Then the Hector' speed is 0.7x miles per hour.


The basic equation is

    3x + 3*0.7x = 30.6  miles.


Simplify and solve it

    3x + 2.1x   = 30.6

    5.1x        = 30.6

       x        = 30.6%2F5.1 = 6.


ANSWER.  Khang' speed is 6 mph;  Hector' speed is  0.7*6 = 4.2 mph.

Solved.

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