Problema Solution
It takes Company A 20 hours to upgrade a home heat pump. It takes 12 hours if Company A and company B work together? How long would it take Company B alone to install the heat pump?
Answer provided by our tutors
Let 'b' represent the hours that Company B need to install the heat pump alone.
Company A's rate is: 1/20 pumps per hour
Company B's rate is: 1/b pumps per hour
Together rate is: 1/12 pumps per hour
Now we can write:
1/30 + 1/b = 1/12
........
click here to see the equation solved for b
........
b = 30 hr
When working alone, Company B will install the heat pump in 30 hours.