Question

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.
A. How much time does Carl spend dog walking every day?
B. How much time does Carl spend dog walking in a week?
C. Ten 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

Answer 1

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 2

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

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