Difference between revisions of "1997 PMWC Problems/Problem I3"
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| − | 11 p.m. Wednesday | + | == 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? | ||
| + | |||
| + | == 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. | ||
| + | |||
| + | == See also == | ||
| + | {{PMWC box|year=1997|num-b=I2|num-a=I4}} | ||
| + | |||
| + | [[Category:Introductory Algebra Problems]] | ||
Revision as of 17:04, 8 October 2007
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?
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 | ||
