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primary 5 | Maths
| Decimals
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Ali has to take the cough medicine 18 times.
One day has 24 hours.
Ali takes 24 ÷ 4 = 6 times a day.
18 ÷ 6 = 3
So Ali takes all the doses within 3 days.
Let the first timing he takes a dose be 12am (first day starts)
2nd timing : 4am
3rd timing : 8am
4th timing : 12pm
5th timing : 4pm
6th timing : 8pm
7th timing : 12am (2nd day starts)
8th timing : 4am
9th timing : 8am
10th timing : 12pm
11th timing : 4pm
12th timing : 8pm
13th timing : 12am (3rd day starts)
14th timing : 4am
15th timing : 8am
16th timing : 12pm
17th timing : 4pm
18th timing : 8pm (last dose)
So on the third day, he will finish his last dose at 8pm.
Notice that when he finished at 8pm on the 3rd day, there are still 4 hours before the end of the day.
4 hours = 1/6 x 24 hours
= 1/6 days
So we need to minus 1/6 days from 3 days
So the number of days needed
= 3 - 1/6 = 2 5/6 days
He finished his medicine at 8pm, but there are still 4 hours before it is 12am, where the 3rd day is over and the 4th day begins.
So we cannot say Ali used 3 full days to finish the medicine.
We have subtract 4 hours = 1/6 day
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