Harry jogged at the park once every 4 days. Sean jogged at the same park once every 8 days. They met on 3 September 2013. There are 30 days in September and 31 days in October.
- On which date they next met each other at the park? Give your answer at the following format. (Eg 1 Jan 2000)
- How many times did they meet at the park at September and October 2013?
(a)
Multiples of 4: 4, 8
Multiples of 8: 8
LCM of 4 and 8: 8
Harry and Sean met every 8 days.
8 days after 3 September 2013 = 11 Sep 2013
The day that they next met at the park = 11 Sep 2013
(b)
Since Harry and Sean first met on 3 September 2013, they did not meet for the first 2 days of September 2013.
Total number of days from 3 September 2013 to 30 October 2013
= 30 + 31 - 2
= 59
Number of sets of 8 days from 3 September to 30 October 2013
= 59 ÷ 8
= 7 r 3
On the first day of each of the 7 sets of 8 days, they would meet at the park.
Since there is a remainder of 3, this means that on the first day of the remaining 3 days, they would meet at the park again.
Number of times that they met at the park in September 2013 and October 2013
= 7 + 1
= 8
Answer(s): (a) 11 Sep 2013; (b) 8
