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Carl earns $ 3.25 per hour walking his neighbor's dog. He walks them 1/3 of an hour in the norning and 1/2 of an hour in the afternoon.

AHow much time does Carl spend dog walking every day?
BHow much time does Carl spend dog walking in a week?
CTen minutes is equal to 1/6 of an hour . How many minutes does Carl work dog walking each week.

I originally posted the 1st part of the question not realizing there was multiple questions for 1 problem. Any help is appreciated

Verified Answer :

A)   Each day, Carl spends 1/3 of an hour walking the dog in the morning and 1/2 an hour in the afternoon. To work out how long he walks them for a day, we need to add together the two fractions.
The lowest common multiple of 3 and 2 is 6, therefore we turn the denominators into 6
From 3 to 6, we multiply by 2, therefore we do the same to the numerator
1/3 = 2/6
From 2 to 6, we multiply by 3, therefore we do the same to the numerator
1/2 = 3/6
Now we can add the numerators
2/6 + 3/6 = 5/6
5/6 x 60mins = 50 minutes per day

B)  If Carl walks the dog every day, we multiply 5/6 by 7 to find the number of hours
5/6 x 7 = 35/6 = 5 5/6 hours or 5 hours 50 minutes

C)  To convert into minutes we multiply 5 5/6 by 60
5 5/6 x 60 = 350 minutes

Answer:

A) 50 minutes

B) \(5\frac{5}{6}\text{ of an hour}\)

C) 350 minutes

Step-by-step explanation:

We are given the following information in the question:

Carl earns $ 3.25 per hour walking his neighbor's dog.

Total walking of dog in morning and evening =

\(\text{Morning:}\\\displaystyle\frac{1}{3} \text{ of an hour}\\\\= \frac{1}{3}\times 60\text{ minutes }= 20 \text{minutes}\\\\\text{Evening:}\\\displaystyle\frac{1}{2} \text{ of an hour}\\\\= \frac{1}{2}\times 60\text{ minutes }= 30 \text{minutes}\)

A)  Time Carl spend dog walking every day =

Time spent in morning + Time spent in evening =

\(20 + 30 = 50\text{ minutes}\)

Carl spend 50 minutes dog walking every day.

B) Time Carl spend dog walking in a week

\(\text{Time spend every day}\times \text{Number of days in aweek}\\=(\displaystyle\frac{1}{3}+\frac{1}{2})}\text{ of an hour}\times 7\\\\= \displaystyle\frac{5}{6}}\text{ of an hour}\times 7\\\\= \frac{35}{6}\text{ of an hour} = 5\frac{5}{6}\text{ of an hour}\)

C) Time Carl spend dog walking in a week in minutes

\(=\text{Time spend every day}\times \text{Number of days in aweek}\\= 50\text{ minutes}\times 7\\= 350\text{ mnutes}\)

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