Question

Joey’s parents told him that for every 3 hours of chores he completes, they would give him $11for his allowance. His friend Sarah’s parents told her that she would earn $2 for every 30 minutes of chores completed. If both kids spend the same amount of time on their chores, which person gets more money for their allowance? How do you know?
A runner ran 20 miles in 150 minutes. If she runs at that speed,
How long would it take her to run 6 miles?






How far could she run in 15 minutes?






How fast is she running in miles per hour?





What is her pace in minutes per mile?



Gianna is paid $90 for 5 hours of work.
At this rate,how much would Gianna earn for 8 hours of work? Show work to justify your answer.





At this rate, how long would Gianna have to work to earn $60? Show work to justify your answer.

Answer 1

Answer: (a) Sarah     (b) 45 minutes     (c) 2 miles     (d) 8 miles per hour  

              (e) 7.5 minutes per mile          (f)  $144         (g) 3 1/3 hours

Step-by-step explanation:

$\text{Joey:}\quad \dfrac{\ 11}{3\ hours}\\\\\\\text{Sarah:}\quad \dfrac{\ 2}{\frac{1}{2}\ hour}\times \dfrac{6}{6}=\dfrac{\ 12}{3\ hours}$

When comparing the same number of hours, Sarah earns $12, Joey earns $11.

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                            $\dfrac{20\ miles}{150\ minutes}=\dfrac{6\ miles}{x}$

Cross Multiply:     20(x) = 150(6)

Divide by 20:             x = 900/20

Simplify:                     x = 45 minutes

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                             $\dfrac{20\ miles}{150\ minutes}=\dfrac{x}{15\ minutes}$

Cross Multiply:      20(15) = 150(x)

Divide by 150:       300/150 = x

Simplify:                 2 miles = x

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Use conversion: 60 minutes = 1 hour

$\dfrac{20\ miles}{150\ minutes}\times \dfrac{60\ minutes}{1\ hour}=\quad \dfrac{1200\ miles}{150\ hour}\quad =\large\boxed{\dfrac{8\ miles}{1\ hour}}$

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$\dfrac{150\ minutes}{20\ miles}\div \dfrac{20}{20}=\quad \large\boxed{\dfrac{7.5\ minutes}{1\ mile}}$

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                           $\dfrac{\ 90}{5\ hours}=\dfrac{x}{8\ hours}$

Cross Multiply:     5(x) = 90(8)

Divide by 5:             x = 720/5

Simplify:                   x = $144

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                            $\dfrac{\ 90}{5\ hours}=\dfrac{\ 60}{x}$

Cross Multiply:     5(60) = 90(x)

Divide by 90:        300/90 = x

Simplify:               3 1/3 hours = x

Answer 2

150 ÷ 20 = 7.5 minutes per 1 mile

7.5 x 6 = 45 minutes

7.5 + 7.5 = 15 minutes or 2 miles in 15

60 ÷ 7.5 = 8 mph

mpm = 7.5

90 ÷ 5 = $18 per hour

18 x 8 = $144

18 x 3 = 54 (close to $60)

Step-by-step explanation:

hope this helps