Albert jogged at the park once every 3 days. Liam jogged at the same park once every 6 days. They met on 4 November 2023. There are 30 days in November and 31 days in December.
- 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 November and December 2023?
(a)
Multiples of 3: 3, 6
Multiples of 6: 6
LCM of 3 and 6: 6
Albert and Liam met every 6 days.
6 days after 4 November 2023 = 10 Nov 2023
The day that they next met at the park = 10 Nov 2023
(b)
Since Albert and Liam first met on 4 November 2023, they did not meet for the first 3 days of November 2023.
Total number of days from 4 November 2023 to 30 December 2023
= 30 + 31 - 3
= 58
Number of sets of 6 days from 4 November to 30 December 2023
= 58 ÷ 6
= 9 r 4
On the first day of each of the 9 sets of 6 days, they would meet at the park.
Since there is a remainder of 4, this means that on the first day of the remaining 4 days, they would meet at the park again.
Number of times that they met at the park in November 2023 and December 2023
= 9 + 1
= 10
Answer(s): (a) 10 Nov 2023; (b) 10
