Bob works in construction and works 8 hours each day.
(a) if he spends 7/12 of the time mixing cement and the remainder of the time laying bricks. How much time does he spend laying bricks each day?
(b) Bob's supervisor wants him to spend the same amount of time mixing cement as well as laying bricks. How much more time must Bob spend laying bricks.
a)
(5/12) * 8 = ____x___ hours
b)
4 - x = ________ hours
To solve these questions, we'll break down the information and use basic arithmetic.
Let's start with part (a):
(a) We are told that Bob spends 7/12 of his time mixing cement, which means he spends the remaining time laying bricks.
To find the time Bob spends laying bricks each day, we can subtract the time he spends mixing cement from his total work hours:
Total work hours = 8 hours
Time spent mixing cement = 7/12 * 8 hours
Time spent laying bricks = Total work hours - Time spent mixing cement
Now let's calculate it:
Time spent mixing cement = 7/12 * 8 = 4.67 hours (rounded to two decimal places)
Time spent laying bricks = 8 - 4.67 = 3.33 hours (rounded to two decimal places)
Therefore, Bob spends approximately 3.33 hours laying bricks each day.
Moving on to part (b):
(b) Bob's supervisor wants him to spend the same amount of time mixing cement as laying bricks.
This means Bob needs to spend an equal amount of time laying bricks as the 7/12 portion he previously spent mixing cement. We'll find the time difference between the two scenarios:
Time spent mixing cement = 7/12 * 8 hours
Time spent laying bricks (new goal) = Time spent mixing cement
Now let's calculate it:
Time spent mixing cement = 7/12 * 8 = 4.67 hours (rounded to two decimal places)
Time spent laying bricks (new goal) = 4.67 hours
To find how much more time Bob must spend laying bricks, we subtract the time he currently spends laying bricks from the new goal:
Additional time Bob must spend laying bricks = Time spent laying bricks (new goal) - Time spent laying bricks (current)
Additional time Bob must spend laying bricks = 4.67 - 3.33 = 1.34 hours (rounded to two decimal places)
Therefore, Bob must spend approximately 1.34 hours more laying bricks to meet the supervisor's new goal.