Question

wendy jogs every three days and xue jogs every four days. if today is a wednesday and wendy and sue both jog today, in how many days will they both jog again on the same day of the week which day of the week will it be

Answer 1

Monday

Explanation:

Given

`Wendy = 3`

`Xue = 4`

`Today = Wednesday`

Required

Determine when next they will jog together

First, we calculate the L.C.M of the days they jog:

`3 = 1 * 3` --- Wendy

`4 = 1 * 2 * 2` ---- Xue

`LCM = 1 * 3 * 2 * 2`

`LCM = 12`

This means that they meet on the 12th day; The 12th day after a Wednesday is Monday.

Hence, they will meet on a Monday