Difference between revisions of "2006 AMC 8 Problems/Problem 14"
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The information is the same for Problems 14,15, and 16. Therefore, we shall only use the information we need. All we need for this problem is that there's 760 pages, Bob reads a page in 45 seconds and Chandra reads a page in 30 seconds. A lot of people will find how long it takes Bob to read the book, how long it takes Chandra to read the book, and then find the seconds. However, if we just set up the expression, we can find an easier way. | The information is the same for Problems 14,15, and 16. Therefore, we shall only use the information we need. All we need for this problem is that there's 760 pages, Bob reads a page in 45 seconds and Chandra reads a page in 30 seconds. A lot of people will find how long it takes Bob to read the book, how long it takes Chandra to read the book, and then find the seconds. However, if we just set up the expression, we can find an easier way. | ||
| − | <math>760\cdot45 - 760\cdot30 = 760(45-30) = 760(15) = \boxed{\textbf(B)11,400}</math> | + | <math>760\cdot45 - 760\cdot30 = 760(45-30) = 760(15) = \boxed{\textbf{(B)}11,400}</math> |
| + | |||
| + | ==Video Solution by WhyMath== | ||
| + | https://youtu.be/EpLQTEi0pLo | ||
| + | |||
| + | ==See Also== | ||
| + | {{AMC8 box|year=2006|num-b=13|num-a=15}} | ||
| + | {{MAA Notice}} | ||
Latest revision as of 16:13, 30 October 2024
Problem
Problems 14, 15 and 16 involve Mrs. Reed's English assignment.
A Novel Assignment
The students in Mrs. Reed's English class are reading the same 
-page novel. Three friends, Alice, Bob and Chandra, are in the class. Alice reads a page in 20 seconds, Bob reads a page in 
seconds and Chandra reads a page in 
seconds.
If Bob and Chandra both read the whole book, Bob will spend how many more seconds reading than Chandra?
Solution
The information is the same for Problems 14,15, and 16. Therefore, we shall only use the information we need. All we need for this problem is that there's 760 pages, Bob reads a page in 45 seconds and Chandra reads a page in 30 seconds. A lot of people will find how long it takes Bob to read the book, how long it takes Chandra to read the book, and then find the seconds. However, if we just set up the expression, we can find an easier way.
Video Solution by WhyMath
See Also
| 2006 AMC 8 (Problems • Answer Key • Resources) | ||
| Preceded by Problem 13 |
Followed by Problem 15 | |
| 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 | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
