If a workman receives time and a half for overtime, 25 hours of overtime would be the equivalent of how many regular working hours?

a. 6
b. 12
c. 18
d. 30
e. 37.5

please answer and explain

my answer is e

25/2=12.5

12.5+25=37.5

Right.

thank you

You're welcome.

Which answer makes sense to you?

To find the equivalent number of regular working hours for 25 hours of overtime, we need to calculate how many regular hours 25 hours of overtime represents with the time and a half pay rate.

Let's break it down step by step:

1. Determine the pay rate for overtime: In this case, the workman receives time and a half for overtime. It means that for every hour of overtime, the workman earns 1.5 times his regular pay rate.

2. Calculate the total pay for 25 hours of overtime: Multiply the regular pay rate by 1.5 to get the overtime pay rate. Then, multiply the overtime pay rate by the total number of overtime hours (25) to find the total overtime pay.

3. Convert the total overtime pay into regular hours: To find the equivalent regular working hours, we need to divide the total overtime pay by the regular pay rate.

Now let's calculate:

1. Let's assume that the regular pay rate is "x" dollars per hour. The overtime pay rate would be 1.5 times "x," which is 1.5x dollars per hour.

2. The total overtime pay for 25 hours of overtime would be (1.5x) × 25 = 37.5x dollars.

3. To find the equivalent regular working hours, we divide the total overtime pay (37.5x) by the regular pay rate (x):
(37.5x) ÷ x = 37.5.

Therefore, 25 hours of overtime is equivalent to 37.5 regular working hours.

The answer is option e. 37.5.

Explanation: By calculating the overtime pay rate and dividing the total overtime pay by the regular pay rate, we can determine the equivalent number of regular working hours. In this case, 25 hours of overtime is equal to 37.5 regular working hours.