Difference between revisions of "2005 AMC 10A Problems/Problem 7"
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<math> m = 5 \Longrightarrow \mathrm{(B)} </math> | <math> m = 5 \Longrightarrow \mathrm{(B)} </math> | ||
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+ | ==Video Solution== | ||
+ | -Education, The Study Of Everything | ||
+ | CHECK OUT Video Solution: https://youtu.be/WIR8yPLET9Y | ||
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==See also== | ==See also== | ||
{{AMC10 box|year=2005|ab=A|num-b=6|num-a=8}} | {{AMC10 box|year=2005|ab=A|num-b=6|num-a=8}} | ||
{{MAA Notice}} | {{MAA Notice}} |
Revision as of 21:02, 30 October 2020
Contents
Problem
Josh and Mike live miles apart. Yesterday Josh started to ride his bicycle toward Mike's house. A little later Mike started to ride his bicycle toward Josh's house. When they met, Josh had ridden for twice the length of time as Mike and at four-fifths of Mike's rate. How many miles had Mike ridden when they met?
Solution
Let be the distance in miles that Mike rode.
Since Josh rode for twice the length of time as Mike and at four-fifths of Mike's rate, he rode miles.
Since their combined distance was miles,
Video Solution
-Education, The Study Of Everything CHECK OUT Video Solution: https://youtu.be/WIR8yPLET9Y
See also
2005 AMC 10A (Problems • Answer Key • Resources) | ||
Preceded by Problem 6 |
Followed by Problem 8 | |
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.