Simon jogged in the stadium once every 4 days. Peter jogged in the same stadium once every 5 days. They met on 8 April 2013. 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 2013?
(a)
Multiples of 4: 4, 8, 12, 16, 20
Multiples of 5: 5, 10, 15, 20
LCM of 4 and 5: 20
Simon and Peter met every 20 days.
20 days after 8 April 2013 = 28 Apr 2013
The day that they next met in the stadium = 28 Apr 2013
(b)
Since Simon and Peter first met on 8 April 2013, they did not meet for the first 7 days of April 2013.
Total number of days from 8 April 2013 to 30 May 2013
= 30 + 31 - 7
= 54
Number of sets of 20 days from 8 April to 30 May 2013
= 54 ÷ 20
= 2 r 14
On the first day of each of the 2 sets of 20 days, they would meet in the stadium.
Since there is a remainder of 14, this means that on the first day of the remaining 14 days, they would meet in the stadium again.
Number of times that they met in the stadium in April 2013 and May 2013
= 2 + 1
= 3
Answer(s): (a) 28 Apr 2013; (b) 3
