Ahmad jogged in the stadium once every 4 days. Luis jogged in the same stadium once every 5 days. They met on 6 April 2014. 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 2014?
(a)
Multiples of 4: 4, 8, 12, 16, 20
Multiples of 5: 5, 10, 15, 20
LCM of 4 and 5: 20
Ahmad and Luis met every 20 days.
20 days after 6 April 2014 = 26 Apr 2014
The day that they next met in the stadium = 26 Apr 2014
(b)
Since Ahmad and Luis first met on 6 April 2014, they did not meet for the first 5 days of April 2014.
Total number of days from 6 April 2014 to 30 May 2014
= 30 + 31 - 5
= 56
Number of sets of 20 days from 6 April to 30 May 2014
= 56 ÷ 20
= 2 r 16
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 16, this means that on the first day of the remaining 16 days, they would meet in the stadium again.
Number of times that they met in the stadium in April 2014 and May 2014
= 2 + 1
= 3
Answer(s): (a) 26 Apr 2014; (b) 3