sean takes 8 hours to stain a deck then michelle. together it takes them 4.2 hour to complete the work. how long would it take sean to stain the deck by himself
Regina means: It takes Shawn 8 more hours to stain a deck than Michelle. Together it takes them 4.2 hours to complete the work. How long would it take Shawn to stain the deck by himself?
Please read and clarify your problem.
Please read and clarify your problem.
To find out how long it would take Sean to stain the deck by himself, we can calculate his individual work rate.
Let's assume Sean's work rate is represented by S (in terms of portions of work per hour), and Michelle's work rate is represented by M.
From the information given, we know that Sean takes 8 hours to complete the work by himself. So, his work rate is 1/8 (1 portion of work per 8 hours):
S = 1/8
We also know that when they work together, it takes them 4.2 hours to complete the work. This means their combined work rate is 1/4.2 (1 portion of work per 4.2 hours):
S + M = 1/4.2
Now, we can solve these two equations simultaneously to find the value of M (Michelle's work rate). Let's substitute the earlier equation into the second equation:
1/8 + M = 1/4.2
Now, we can solve for M:
M = 1/4.2 - 1/8
M = (4.2 - 0.525)/35
M = 3.675/35
M ≈ 0.105
So, Michelle's work rate is approximately 0.105 (1 portion of work per hour).
Now that we have Sean's work rate and Michelle's work rate, we can find out how long it would take Sean to stain the deck by himself by using the formula:
Time = 1 / Work Rate
Substituting Sean's work rate into the formula:
Time = 1 / (1/8)
Time = 1 × 8
Time = 8
Therefore, it would take Sean 8 hours to stain the deck by himself.