Use 24 hour clock to make it easier
10 pm is 22 hundred in Navy 24 hour time 22:00
time for pill 1 = 22 + 8 n
time for pill 2 = 22 + 10 m
so when are they the same with integer n and m?
22 + 8 n = 22 + 10 m
8 n = 10 m
greatest common factor = 2
2 *4 n = 2 * 5 m
4 n = 5 m
so for smallest integer n and m
n = 5, m = 4
5 * 8 = 40 hours
4 *10 = 40 hours
so
40 hours after 22 hundred on tuesday
40 = 24 + 16
start time was 22 on tuesday
24 hours makes it 22 hundred on Wednesday and we go 16 hours more
that is the two hours to midnight wed and = 14 hours on Thursday
14:00 hours is 2 pm Thursday
Hi there! So in math I am having trouble for factorization. I do get help from my teacher but I’m still confused?
Terrence is taking two medications for his flu. He begins taking them both at 10:00 PM on Tuesday. If he takes one every eight hours and the other every 10 hours, On what day and what time will he take the two medications together again?
1 answer