Difference between revisions of "2017 AMC 10B Problems/Problem 2"
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==Problem== | ==Problem== | ||
| − | Sofia ran <math>5</math> laps around the <math>400</math>-meter track at her school. For each lap, she ran the first <math>100</math> meters at an average speed of <math>4</math> meters per second and the remaining <math>300</math> meters at an average speed of <math>5</math> meters per second. How much time did Sofia take running the <math>5</math> laps? | + | Sofia ran <math>5</math> laps around the <math>400</math>-meter track at her school. For each lap, she ran the first <math>100</math> meters at an average speed of <math>4</math> meters per second and the remaining <math>300</math> meters at an average speed of <math>5</math> meters per second. How much time did Sofia take running the <math>5</math> laps? |
| − | <math>\textbf{(A)}\ \text{5 minutes and 35 seconds}\qquad\textbf{(B)}\ \text{6 minutes and 40 seconds}\qquad\textbf{(C)}\ \text{7 minutes and 5 seconds}\qquad\textbf{(D)}\ \text{7 minutes and 25 seconds}</math><math>\qquad\textbf{(E)}\ \text{8 minutes and 10 seconds}</math> | + | <math>\qquad\textbf{(A)}\ \text{5 minutes and 35 seconds}</math> <br> |
| + | <math>\qquad\textbf{(B)}\ \text{6 minutes and 40 seconds}</math> <br> | ||
| + | <math>\qquad\textbf{(C)}\ \text{7 minutes and 5 seconds}</math> <br> | ||
| + | <math>\qquad\textbf{(D)}\ \text{7 minutes and 25 seconds}</math> <br> | ||
| + | <math>\qquad\textbf{(E)}\ \text{8 minutes and 10 seconds}</math> | ||
==Solution== | ==Solution== | ||
Revision as of 21:21, 15 April 2020
Problem
Sofia ran 
laps around the 
-meter track at her school. For each lap, she ran the first 
meters at an average speed of 
meters per second and the remaining 
meters at an average speed of meters per second. How much time did Sofia take running the laps?
Solution
If Sofia ran the first meters of each lap at meters per second and the remaining meters of each lap at meters per second, then she took 
seconds for each lap. Because she ran laps, she took a total of 
seconds, or 
minutes and seconds. The answer is 
.
See Also
| 2017 AMC 10B (Problems • Answer Key • Resources) | ||
| Preceded by Problem 1 |
Followed by Problem 3 | |
| 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 AMC 10 Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
