Lars, Rita and Alan regularly go swimming. Lars goes every 2 days, Rita goes every 3 days and Alan goes every 5 days.

They all went swimming together on Friday 1st June.
a) On what date will Lars and Rita next go swimming together?
b) On what date will Rita and Alan next go swimming together?
c) On what day of the week will all 3 next go swimming together?
d) Which of the 3 (if any) will go swimming on 15th June?

a) Wednesday 13th June

b) Tuesday 12th June
c) Monday 18th June
d) Lars