Answer:
5 hours
Step-by-step explanation:
Let both of them clean for x hours at which cost for both cleaners company charge are same
For Cwicky Cleaners
upfront charges = $100
cleaning charge for 1 hour = $20
cleaning charge for 1*x hour = $20*x =$20x
Total charge by Cwicky Cleaners = $100 + $20x
For No Mo Mess
upfront charges = $50
cleaning charge for 1 hour = $30
cleaning charge for 1*x hour = $30*x =$30x
Total charge by No Mo Mess = $50 + $30x
Given that we have to find the hour at which both the cleaners have same cost
Total charge by Cwicky Cleaners =Total charge by No Mo Mess
100 + 20x = 50 + 30x
=>100 - 50 = 30x-20x
=> 50 = 10x
=> x = 50/10 = 5
Thus, for 5 hours the cost is same for Cwicky Cleaners and No Mo Mess.
