SOLUTION: kevin is riding a bike at 10 mph and stanley is walking at 4mph in how many hours will kevin and stanley be 24 miles apart from each other

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Question 1136176: kevin is riding a bike at 10 mph and stanley is walking at 4mph in how many hours will kevin and stanley be 24 miles apart from each other
Answer by ikleyn(52800) About Me  (Show Source):
You can put this solution on YOUR website!
.

The condition missed the following:

    1.  Did they start from one common point ?

    2.  Did they start simultaneously ?

    3.  Do they move in the same or opposite directions ?

For introductory lessons on Travel & Distance see the lessons
    - Travel and Distance problems
    - Travel and Distance problems for two bodies moving in opposite directions
    - Travel and Distance problems for two bodies moving in the same direction (catching up)
in this site.

They are written specially for you.

Learn from there on how to formulate these problems.


Happy learning !


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Comment from student: Yes they start the same time and travel in the same direction
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My response :   OK.

Then the solution can be implemented in two lines :

    The separation rate is then  (10-4) = 6 miles per hour.

    Hence, they will be 24 miles apart in  24%2F6 = 4 hours.    ANSWER


Or the formal Algebra solution :

Let "t" be the time when they be 24 miles apart.


At that time Kevin will cover the distance of  10*t  miles, while Stanley will cover 4*t miles.


The distance difference should be 24 miles; it gives you an equation


    10t - 4t = 24  miles,

    6t       = 24 miles

     t       = 24%2F6 = 4 hours.     ANSWER

Thus I showed you two ways the problem can be solved.