After knee surgery, your trainer tells you to return to your jogging program slowly. He suggests jogging for 12 minutes each day for the first week. Each week thereafter, he suggests that you increase that time by 6 minutes per day. How many weeks will it be before you are up to jogging 60 minutes per day?
Mathematics · High School · Tue Nov 03 2020
Answered on
Given :
jogging time for the first week = 12 minutes
jogging time for the second week = 18 minutes
jogging time for the third week = 24 minutes
This can be solved by Arithmetic Progression formula, where an = 60
a = 12 and d = 6
an = a + (n-1) d
60 = 12 + (n-1) 6
60 - 12 = (n-1) 6
48 = (n-1) 6
48/6 = n-1
8 = n-1
n = 8 + 1
n = 9
Thus, jogging time will be 60 minutes per day in the 9th week.