Shelly D.

asked • 12/09/14

Question in description!

Kori started biking to the bookstore traveling 13 mph, after some time the bike got a flat so Kori walked the rest of the way, traveling 7 mph. If the total trip to the bookstore took 5 hours and it was 47 miles away, how long did Kori travel at each speed?

2 Answers By Expert Tutors

By:

Rohini K. answered • 12/10/14

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Teacher for Math, Reasoning and English

Shelly D.

Put it in the description!
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12/09/14

Bryce S.

tutor
Thanks!
 
You have two unknowns, the time on the bike and the time walking. I'll call those B and W.
 
The total time for the trip was 5 hours. So the time on the bike plus the time walking equals 5.
 
B + W = 5.
 
Kori rode the bike at 13 mph and walked at 7 mph. To find the distance traveled on the bike, simply take the time on the bike and multiply it by how fast she rode the bike: B * 13. Same for walking: W * 7.
 
Since B * 13 is how far she went on the bike and W * 7 is how far she went while walking, then B * 13 + W * 7 is how far she went total. We know this is equal to 47 miles.
 
B * 13 + W * 7 = 47.
 
You now have two equations and two variables. Do you know how to solve it from here? If not, leave me a comment!
 
Good luck!
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12/09/14

Shelly D.

I can not figure out how to solve it!
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12/09/14

Bryce S.

tutor
Here are some hints.
 
We have
 
B + W = 5
 
13B + 7W = 47      (Note: B * 13 + W * 7 = B*13 + W*7 = 13*B + 7*W = 13B + 7W)
 
From the first equation, subtracting B from both sides, we get
 
W = 5 - B
 
Plugging that into 13B + 7W = 47, we get
 
13B + 7(5 - B) = 47
 
Which, applying the distributive law, is equal to
 
13B + 35 - 7B = 47      (Do you understand this step? It comes from simplifying 7(5 - B).)
 
6B = 12
 
B = 2
 
Do you understand those steps? Once you have B, you should be able to solve for W. Leave me a comment if you need more help!
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12/09/14

Shelly D.

Is W 3?
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12/09/14

Bryce S.

tutor
Yes! Great work.
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12/09/14

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