Difference between revisions of "1997 PMWC Problems/Problem I3"
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| − | == Problem == | + | ==Problem== |
| − | Peter is ill. He has to take medicine A every 8 hours, medicine B every 5 hours and medicine C every 10 hours. If he took all three medicines at 7 a.m. on Tuesday, when will he take them altogether again? | + | Peter is ill. He has to take medicine <math>A</math> every <math>8</math> hours, medicine <math>B</math> every <math>5</math> hours and medicine <math>C</math> every <math>10</math> hours. If he took all three medicines at <math>7</math> a.m. on Tuesday, when will he take them altogether again? |
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== Solution == | == Solution == | ||
| − | <math>lcm(8,5,10) = 40</math>, so he will consume the pills together forty hours afterwards or one day and 16 hours. That will be 11 p.m. Wednesday. | + | <math>\operatorname{lcm}(8,5,10) = 40</math>, so he will consume the pills together forty hours afterwards or one day and 16 hours. That will be 11 p.m. Wednesday. |
| − | == See | + | == See Also == |
{{PMWC box|year=1997|num-b=I2|num-a=I4}} | {{PMWC box|year=1997|num-b=I2|num-a=I4}} | ||
[[Category:Introductory Algebra Problems]] | [[Category:Introductory Algebra Problems]] | ||
Latest revision as of 13:21, 20 April 2014
Problem
Peter is ill. He has to take medicine 
every 
hours, medicine 
every 
hours and medicine 
every 
hours. If he took all three medicines at 
a.m. on Tuesday, when will he take them altogether again?
Solution
, so he will consume the pills together forty hours afterwards or one day and 16 hours. That will be 11 p.m. Wednesday.
See Also
| 1997 PMWC (Problems) | ||
| Preceded by Problem I2 |
Followed by Problem I4 | |
| I: 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 T: 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 | ||
