Bryan jogged at the park once every 2 days. Ian jogged at the same park once every 5 days. They met on 3 May 2014. There are 31 days in May and 30 days in June.
- 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 May and June 2014?
(a)
Multiples of 2: 2, 4, 6, 8, 10
Multiples of 5: 5, 10
LCM of 2 and 5: 10
Bryan and Ian met every 10 days.
10 days after 3 May 2014 = 13 May 2014
The day that they next met at the park = 13 May 2014
(b)
Since Bryan and Ian first met on 3 May 2014, they did not meet for the first 2 days of May 2014.
Total number of days from 3 May 2014 to 30 June 2014
= 31 + 30 - 2
= 59
Number of sets of 10 days from 3 May to 30 June 2014
= 59 ÷ 10
= 5 r 9
On the first day of each of the 5 sets of 10 days, they would meet at the park.
Since there is a remainder of 9, this means that on the first day of the remaining 9 days, they would meet at the park again.
Number of times that they met at the park in May 2014 and June 2014
= 5 + 1
= 6
Answer(s): (a) 13 May 2014; (b) 6
