Will jogged in the gym once every 2 days. Cody jogged in the same gym once every 4 days. They met on 3 June 2018. There are 30 days in June and 31 days in July.
- On which date they next met each other in the gym? Give your answer in the following format. (Eg 1 Jan 2000)
- How many times did they meet in the gym in June and July 2018?
(a)
Multiples of 2: 2, 4
Multiples of 4: 4
LCM of 2 and 4: 4
Will and Cody met every 4 days.
4 days after 3 June 2018 = 7 Jun 2018
The day that they next met in the gym = 7 Jun 2018
(b)
Since Will and Cody first met on 3 June 2018, they did not meet for the first 2 days of June 2018.
Total number of days from 3 June 2018 to 30 July 2018
= 30 + 31 - 2
= 59
Number of sets of 4 days from 3 June to 30 July 2018
= 59 ÷ 4
= 14 r 3
On the first day of each of the 14 sets of 4 days, they would meet in the gym.
Since there is a remainder of 3, this means that on the first day of the remaining 3 days, they would meet in the gym again.
Number of times that they met in the gym in June 2018 and July 2018
= 14 + 1
= 15
Answer(s): (a) 7 Jun 2018; (b) 15
