Answer:
Step-by-step explanation:
Step 1: Know the key information
Catherine= 15 hours
Dan=30 hours
Time to work together = x
Step 2: Put them as fractions
So: Catherine=1/15
Dan=1/30
Time to work together =1/x
Therefore, our equation will be: 1/15+1/30=1/x
Step 3: Our lowest common denominator is 30x
Therefore,
30x/15=2x
30x/30=x
30x/x=30
Step 4: put the x we found into a equation
Our equation would be:
2x+x=30 which makes
3x=30 (divide 30 by 3 as 30 is a multiple of 3)
x=10
Therefore, when working together it would take 10 hours
