Find multiples of 30 and 40:
30: 30, 60, 90, 120, 150
40: 40, 80, 120, 160
The least common multiple is 120, so every 120 minutes they willl both ring.
1 hour = 60 minutes:
120/60 = 2 hours.
The bells ring together every 2 hours.
8 + 2 = 10 am
10 + = 12pm
12 + 2 = 2 pm
The bells will ring together at am, 12 pm and 2 pm.
When multiplying two powers that have the same base, you can add the exponents.
Patrick completes 13 questions every 52 minutes.
We're trying to find the time for Patrick to complete 1 packet.
Let's set these up as a fraction equation.
13/52 = 1/x, x being the variable that substitutes the time we're looking for.
13/52 can be simplified, though.
Divide both numbers by 13.
13 / 13 = 1
52 / 13 = 4
We now have:
1/4 = 1/x.
Well, this makes it easier. The numerators match, so the denominators must match as well.
x = 4.
It will take Patrick 4 minutes to complete 1 homework question.
I hope this helps!