Wesley jogged at the park once every 4 days. Mark jogged at the same park once every 5 days. They met on 3 April 2018. There are 30 days in April and 31 days in May.
- 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 April and May 2018?
(a)
Multiples of 4: 4, 8, 12, 16, 20
Multiples of 5: 5, 10, 15, 20
LCM of 4 and 5: 20
Wesley and Mark met every 20 days.
20 days after 3 April 2018 = 23 Apr 2018
The day that they next met at the park = 23 Apr 2018
(b)
Since Wesley and Mark first met on 3 April 2018, they did not meet for the first 2 days of April 2018.
Total number of days from 3 April 2018 to 30 May 2018
= 30 + 31 - 2
= 59
Number of sets of 20 days from 3 April to 30 May 2018
= 59 ÷ 20
= 2 r 19
On the first day of each of the 2 sets of 20 days, they would meet at the park.
Since there is a remainder of 19, this means that on the first day of the remaining 19 days, they would meet at the park again.
Number of times that they met at the park in April 2018 and May 2018
= 2 + 1
= 3
Answer(s): (a) 23 Apr 2018; (b) 3
