Warren jogged in the stadium once every 2 days. Oliver jogged in the same stadium once every 5 days. They met on 4 April 2017. There are 30 days in April and 31 days in May.
- 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 April and May 2017?
(a)
Multiples of 2: 2, 4, 6, 8, 10
Multiples of 5: 5, 10
LCM of 2 and 5: 10
Warren and Oliver met every 10 days.
10 days after 4 April 2017 = 14 Apr 2017
The day that they next met in the stadium = 14 Apr 2017
(b)
Since Warren and Oliver first met on 4 April 2017, they did not meet for the first 3 days of April 2017.
Total number of days from 4 April 2017 to 30 May 2017
= 30 + 31 - 3
= 58
Number of sets of 10 days from 4 April to 30 May 2017
= 58 ÷ 10
= 5 r 8
On the first day of each of the 5 sets of 10 days, they would meet in the stadium.
Since there is a remainder of 8, this means that on the first day of the remaining 8 days, they would meet in the stadium again.
Number of times that they met in the stadium in April 2017 and May 2017
= 5 + 1
= 6
Answer(s): (a) 14 Apr 2017; (b) 6
