Question

Karen paints her house in 10.5 days working 7.5 hours per day. How long would it take Karen to do the job if she worked 9 hours per day?

Option 1: 8.5 days
Option 2: 9 days
Option 3: 9.5 days
Option 4: 10 days

Answer 1

Karen would take approximately 12.6 days to do the job if she worked 9 hours per day. Since we can't have a fraction of a day, we round up to the nearest whole day, which is 13 days.

Step-by-step explanation:

To determine how long it would take Karen to paint the house if she worked 9 hours per day, we can set up a proportion using the formula:

Days Worked1 / Hours Worked1 = Days Worked2 / Hours Worked2

Plugging in the given values:

10.5 days / 7.5 hours = x days / 9 hours

Cross multiplying gives:

10.5 * 9 = 7.5 * x

Simplifying:

94.5 = 7.5x

Dividing both sides by 7.5 gives:

x = 12.6 days

So, Karen would take approximately 12.6 days to do the job if she worked 9 hours per day. Since we can't have a fraction of a day, we round up to the nearest whole day, which is 13 days. Therefore, option 4: 10 days is the closest estimate.