Cole jogged in the stadium once every 4 days. Justin jogged in the same stadium once every 8 days. They met on 7 November 2008. There are 30 days in November and 31 days in December.
- On which date they next met each other in the stadium? Give your answer in the following format. (Eg 1 Jan 2000)
- How many times did they meet in the stadium in November and December 2008?
(a)
Multiples of 4: 4, 8
Multiples of 8: 8
LCM of 4 and 8: 8
Cole and Justin met every 8 days.
8 days after 7 November 2008 = 15 Nov 2008
The day that they next met in the stadium = 15 Nov 2008
(b)
Since Cole and Justin first met on 7 November 2008, they did not meet for the first 6 days of November 2008.
Total number of days from 7 November 2008 to 30 December 2008
= 30 + 31 - 6
= 55
Number of sets of 8 days from 7 November to 30 December 2008
= 55 ÷ 8
= 6 r 7
On the first day of each of the 6 sets of 8 days, they would meet in the stadium.
Since there is a remainder of 7, this means that on the first day of the remaining 7 days, they would meet in the stadium again.
Number of times that they met in the stadium in November 2008 and December 2008
= 6 + 1
= 7
Answer(s): (a) 15 Nov 2008; (b) 7
