An automobile assembly line runs for 9three-fourths hours each day. Employees work three-fourths hour shifts. How many shifts are there in each day?
A. 9 shifts
B. 10 shifts
C. 12 shifts
D. 13 shifts
To solve this problem, we need to divide the total number of hours the assembly line runs by the length of each shift:
9 3/4 ÷ 3/4
To make the denominator the same, we can convert the whole number to a fraction:
39/4 ÷ 3/4
Now we can divide by multiplying by the reciprocal:
39/4 x 4/3 = 13
Therefore, there are 13 shifts each day. Answer choice D is correct.
To find the number of shifts in each day, we need to divide the total running time of the assembly line by the length of each shift.
The total running time of the assembly line is given as 9 three-fourths hours, which can also be written as 9.75 hours.
The length of each shift is given as three-fourths of an hour, which can also be written as 0.75 hours.
To find the number of shifts, we divide the total running time by the length of each shift:
Number of shifts = Total running time ÷ Length of each shift
Number of shifts = 9.75 hours ÷ 0.75 hours
Number of shifts = 13
Therefore, there are 13 shifts in each day.
The correct answer is D. 13 shifts.
To determine the number of shifts in each day, we need to divide the total number of hours the assembly line runs by the length of each shift.
The automobile assembly line runs for 9 three-fourths hours each day, which can be written as 9 3/4 hours. To convert this mixed number to an improper fraction, we multiply the whole number (9) by the denominator (4), and then add the numerator (3). This gives us (9 * 4) + 3 = 39/4 hours.
Each shift is three-fourths of an hour, which can be written as 3/4 hour.
To find the number of shifts in each day, we divide the total number of hours the assembly line runs (39/4 hours) by the length of each shift (3/4 hour).
(39/4 hours) ÷ (3/4 hour) = 39/4 ÷ 3/4
Dividing fractions is the same as multiplying by the reciprocal, so we can rewrite the division as multiplication:
(39/4) * (4/3) = (39 * 4) / (4 * 3) = 156/12 = 13 shifts
Therefore, the correct answer is D. 13 shifts.