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PtichkaEL [24]
3 years ago
10

Sophie and Simon are peeling a pile of potatoes for lunch in the cafeteria. Sophie can peel all the potatoes by herself in 45 mi

nutes, while it would take Simon 30 minutes to do the job working alone. If Sophie and Simon work together to peel the potatoes, how long will it take them? 15 minutes 18 minutes 38 minutes 75 minutes
Mathematics
2 answers:
tensa zangetsu [6.8K]3 years ago
6 0
Short Answer: 18 minutes
Remark

The answer to this problem is less than the smallest time of the two people working together. that fact lets out C and D (38 minutes and 75 minutes). Now you have to choose 15 minutes and 18 minutes. There's a method. No guessing needed.

Givens
Let the time for Sophie = S
Let the time for Simon = M
Let the job to completion = 1 
S = 45 minutes
M = 30 minutes

Step One
Convert minutes to hours.
45 minutes = 45 / 60 = 3/4 hour = 0.75 hour
30 minutes = 30 / 60 = 1/2 hour = 0.50 hour

Step Two
Set up the Equation
The formula is a form of job / hour.
Let the time = t that they both have to work

job = 1 in these problems.
1/S + 1/M = 1/t
1/0.75 + 1/0.5 = 1/t

Solve
1 ÷ 0.75 = 1.33333
1 ÷ 0.5 = 2

1.3333 + 2 = 3.33333 
3.3333 = 1 / t                    Multlply both sides by t
3.3333*t = 1
t = 1 / 3.333333333
t = 0.3 of an hour


1 hour = 60 minutes
0.3 hours = x              Cross Multiply
x = 60 * 0.3
x = 18 minutes

Answer working together it took them 18 minutes  <<<<< 
qwelly [4]3 years ago
3 0

Answer:

b

Step-by-step explanation:

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Answer:

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2 years ago
Stuck on this problem
zysi [14]

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3 years ago
What is the first step when estimating the quotient of 36.6 / 5
andre [41]

Answer:

I'm assuming you have 4 options, and if so, the answer is A.

Step-by-step explanation:

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There are 130 m&amp;m's in a bag. there are half as many green as red. the number of blue is equal to the number of red and gree
AleksandrR [38]
Let x = red
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2 years ago
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