Flynn jogged at the swimming pool once every 2 days. Warren jogged at the same swimming pool once every 7 days. They met on 9 November 2016. There are 30 days in November and 31 days in December.
- On which date they next met each other at the swimming pool? Give your answer at the following format. (Eg 1 Jan 2000)
- How many times did they meet at the swimming pool at November and December 2016?
(a)
Multiples of 2: 2, 4, 6, 8, 10, 12, 14
Multiples of 7: 7, 14
LCM of 2 and 7: 14
Flynn and Warren met every 14 days.
14 days after 9 November 2016 = 23 Nov 2016
The day that they next met at the swimming pool = 23 Nov 2016
(b)
Since Flynn and Warren first met on 9 November 2016, they did not meet for the first 8 days of November 2016.
Total number of days from 9 November 2016 to 30 December 2016
= 30 + 31 - 8
= 53
Number of sets of 14 days from 9 November to 30 December 2016
= 53 ÷ 14
= 3 r 11
On the first day of each of the 3 sets of 14 days, they would meet at the swimming pool.
Since there is a remainder of 11, this means that on the first day of the remaining 11 days, they would meet at the swimming pool again.
Number of times that they met at the swimming pool in November 2016 and December 2016
= 3 + 1
= 4
Answer(s): (a) 23 Nov 2016; (b) 4
