Difference between revisions of "2016 AMC 8 Problems/Problem 4"
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==Solution== | ==Solution== | ||
When Cheenu was a boy, he could run <math>15</math> miles in <math>3</math> hours and <math>30</math> minutes <math>= 3\times60 + 30</math> minutes <math>= 210</math> minutes, thus running <math>\frac{210}{15} = 14</math> minutes per mile. When he is an old man, he can walk <math>10</math> miles in <math>4</math> hours <math>= 4 \times 60</math> minutes <math>= 240</math> minutes, thus walking <math>\frac{240}{10} = 24</math> minutes per mile. Therefore it takes him <math>\boxed{\textbf{(B)}\ 10}</math> minutes longer to walk a mile now compared to when he was a boy. | When Cheenu was a boy, he could run <math>15</math> miles in <math>3</math> hours and <math>30</math> minutes <math>= 3\times60 + 30</math> minutes <math>= 210</math> minutes, thus running <math>\frac{210}{15} = 14</math> minutes per mile. When he is an old man, he can walk <math>10</math> miles in <math>4</math> hours <math>= 4 \times 60</math> minutes <math>= 240</math> minutes, thus walking <math>\frac{240}{10} = 24</math> minutes per mile. Therefore it takes him <math>\boxed{\textbf{(B)}\ 10}</math> minutes longer to walk a mile now compared to when he was a boy. | ||
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+ | ==Video Solution== | ||
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+ | https://www.youtube.com/watch?v=LqnQQcUVJmA (has questions 1-5) | ||
{{AMC8 box|year=2016|num-b=3|num-a=5}} | {{AMC8 box|year=2016|num-b=3|num-a=5}} | ||
{{MAA Notice}} | {{MAA Notice}} |
Revision as of 12:05, 5 July 2020
When Cheenu was a boy he could run miles in
hours and
minutes. As an old man he can now walk
miles in
hours. How many minutes longer does it take for him to walk a mile now compared to when he was a boy?
Solution
When Cheenu was a boy, he could run miles in
hours and
minutes
minutes
minutes, thus running
minutes per mile. When he is an old man, he can walk
miles in
hours
minutes
minutes, thus walking
minutes per mile. Therefore it takes him
minutes longer to walk a mile now compared to when he was a boy.
Video Solution
https://www.youtube.com/watch?v=LqnQQcUVJmA (has questions 1-5)
2016 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 3 |
Followed by Problem 5 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
All AJHSME/AMC 8 Problems and Solutions |
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