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tankabanditka [31]
3 years ago
13

It takes Anjali eight minutes to wax a floor. Shayna can wax the same floor in 12 minutes. Find how long it would take them if t

hey worked together.
Mathematics
1 answer:
Greeley [361]3 years ago
8 0

Answer:

  • It would take them 4.8 minutes if they worked together.

Step-by-step explanation:

The rates of work are additive. That is, <em>the total rate when Anjali and Shayna work together is equal to the sum of the individual rates when they work separetely</em>.

1. <u>Rate of work of Anjali</u>:

  • Eight minutes to wax a floor: r₁ = 1 floor / 8 minutes = 1/8

2. <u>Rate of work of Shayna</u>:

  • Twelve minutes to was the same floor: r₂ = 1 floor / 12 minutes = 1/12

3. <u>Rate of work if they worked together</u>:

  • r = r₁ + r₂ = 1/8 + 1/12
  • steps to add the fractions:

                - least common denominator: 2³ · 3 = 24

                - r = 1/8 + 1/12 = 3/24 + 2/24 = 5/24 = 0.2083 ...

                - that mean 5 floors/24 minute = 0.2083... floors/minute

4. <u>Time to wax a floor if they worked together</u>

  • The time to wax one floor (minutes per floor) is the inverse of the rate, floors per minute:

                - time = 1 / r = 24/5 = 4.8 minutes per floor.

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Answer:

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One angle of a triangle measures 136º. The other two angles are congruent.
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Answer:

22°

Step-by-step explanation:

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2 years ago
There are four slices of pepperoni pizza and three slices of veggie pizza sitting on the counter. what is the probability of ran
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Answer:

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Step-by-step explanation:

Probability is the measure of uncertainty of any event. It is the ratio of number of favorable outcomes to the total number of possible outcomes. That is,

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