to build a 2.5 m by 3 m deck, a local building supply store chargers $1000 for materials, plus the carpenter's wage of $30/h. The store gives you an estimate of $1480 for the total cost. How much time is estimated for the carpenter to build the deck? provide a full solution'
(1480 - 1000)/30 = h
A formula has to be written that takes all the money into account and the time that the carpenter's will spend on the deck.
We know that the store charges $1000 for materials and $30/hr on labor. So with that information we can say this:
$1000 + ($30 * t) = total
Where t is the time in hours, and because we know the total, $1480, we can say:
$1000 + ($30 * t) = $1480
Now all that is left is to solve for t:
$30 * t = $1480 - $1000
t = ($1480-$1000)/$30
t = $480/$30
t = 16h
Therefore, it will take the carpenters 16 hours to build the deck.
To calculate the estimated time for the carpenter to build the deck, we need to subtract the cost of materials from the total cost, which will give us the cost for the carpenter's wage.
Total cost - Material cost = Carpenter's wage
$1480 - $1000 = $480
Now, we can calculate the number of hours the carpenter will work by dividing the carpenter's wage by the hourly rate:
Carpenter's wage / Hourly rate = Hours worked
$480 / $30 = 16 hours
Therefore, the estimated time for the carpenter to build the deck is 16 hours.