NFER 11A Q50: a milkman and a baker

[london_ilusion]

Hi. I need help with this particular exercice.

A milkman and a baker deliver to the same house.
In a period of 28 days, the milkman calls every second day and the baker every third day.
They meet at the house twice in the first 7 days.
How many more times do they meet during the 4 week period?

Please...

[Twinkle]

Hi

If you scroll down in the maths section you will see that there was a thread started about how to approach this question a few days ago

Twinkle

[WP]

A milkman and a baker deliver to the same house.
In a period of 28 days, the milkman calls every second day and the baker every third day.
They meet at the house twice in the first 7 days.
How many more times do they meet during the 4 week period?

The milkman and baker meet every 6 days (the smallest common multiple of 2 and 3). To see this, it might help to start with a number line, and draw one colour hopping every second day and another hopping every third day. We're told they met twice in the first 7 days, so they must have met on the 1st and 7th days. They will meet again on the 13th, 19th and 25th days, i.e. 3 more times.

Code: Select all

milkman
----------------------------------------------------------------------------------
|     |     |     |     |     |     |     |     |     |     |     |     |     |   
1--2--3--4--5--6--7--8--9-10-11-12-13-14-15-16-17-18-19-20-21-22-23-24-25-26-27-28
|        |        |        |        |        |        |        |        |        |
----------------------------------------------------------------------------------
baker

[yoyo123]

I'm a great fan of diagrams

[london_ilusion]

Thank you very much WP. Very helpful