Ryan jogged in the gym once every 2 days. Riordan jogged in the same gym once every 4 days. They met on 3 March 2018. There are 31 days in March and 30 days in April.
- 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 March and April 2018?
(a)
Multiples of 2: 2, 4
Multiples of 4: 4
LCM of 2 and 4: 4
Ryan and Riordan met every 4 days.
4 days after 3 March 2018 = 7 Mar 2018
The day that they next met in the gym = 7 Mar 2018
(b)
Since Ryan and Riordan first met on 3 March 2018, they did not meet for the first 2 days of March 2018.
Total number of days from 3 March 2018 to 30 April 2018
= 31 + 30 - 2
= 59
Number of sets of 4 days from 3 March to 30 April 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 March 2018 and April 2018
= 14 + 1
= 15
Answer(s): (a) 7 Mar 2018; (b) 15
