Mathematics, 24.03.2020 23:31, biancabell3

. Mari and Liam can each wash a car and vacuum its interior in 2 hours. Zach needs 3 hours to do this same job alone. If Zach, Liam, and Mari work together, how long will it take them to clean a car?

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answered: MyaaaMoney

It will take 45 mins to wash a car when Zach, Liam, and Mari work together.

Step-by-step explanation:

Given:

Time required for Mari to wash a car = 2 hours

Time required for Liam to wash a car = 2 hours

Time required for Zach to wash a car = 3 hours

We need to find the time required to wash a car when Zach, Liam, and Mari work together.

Solution:

Let the time required to wash a car by all three of them be 'x'.

Now first we will find the rate.

Rate is given by Number of job completed divided by time required to complete the job.

Rate of Mari = $\frac{1}{2}$

Rate of Liam = $\frac{1}{2}$

Rate of Zach = $\frac{1}{3}$

Rate when all three work together = $\frac{1}{x}$

Now we can say that;

Rate when all three work together is equal to sum of Rate of Mari, Rate of Liam, Rate of Zach.

framing in equation form we get;

$\frac{1}{2}+\frac12+\frac13=\frac1x\\\\\frac{1+1}{2}+\frac13=\frac1x\\\\\frac{2}{2}+\frac13=\frac1x\\\\1+\frac13=\frac1x$

Now we will take the LCM to make the denominator same we get;

$\frac{3}{3}+\frac13=\frac1x\\\\\frac{3+1}{3}=\frac1x\\\\\frac43=\frac1x$

Now using cross multiplication we get;

$x=\frac34\ hrs$

Now we know that;

1 hour = 60 mins

$\frac34\ hrs$ = Number of minutes in $\frac34\ hrs$

using Unitary method we get;

Number of minutes in $\frac34\ hrs$ = $60 \times \frac34 = 45 \ mins$

Hence it will take 45 mins to wash a car when Zach, Liam, and Mari work together.

answered: Guest

answer: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.

step-by-step explanation: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.

answered: Guest

median is the value separating the higher half of a data sample, a population or probablity distribution from the lower half.

step-by-step explanation:

say you have 3,8,7,3,1,9,8 order them from lowest to highest

if orderd it would be 1,3,3,7,8,8,9 now you take away from the lowest and the highest until you end up in the middle.

so you would remove the 1 and 9 leaving you with 5 digits remaining

when you've reached the middle that would be your answer so in this case the answer is 7

if there were two numbers left say 7 and 5 you'd and them together so 12 then divide by 2 witch would equal 6 so the answer would be 6

good luck on that project hoped i you at all