Mathematics, 13.12.2019 22:31, kalo1023

Tom, working alone, can paint a room in 6 hours. peter and john, working independently, can paint the same room in 3 hours and 2 hours, respectively. tom starts painting the room and works on his own for one hour. he is then joined by peter and they work together for an hour. finally, john joins them and the three of them work together to finish the room, each one working at his respective rate. what fraction of the whole job was done by peter? a. 1/9b. 1/6c. 1/3d. 7/18e. 4/9

Answers: 2

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Answers

answered: sairaanwar67

E. 4/9

Step-by-step explanation:

Let the time when all three were working together is given by t hours.

Hence,

Tom worked for t+2 hours and has done $\frac{1}{6} (t+2)$ part of the job.

Peter worked for t+1 hours and has done $\frac{1}{3} (t+1)$ part of the job.

John worked for t hours and has done $\frac{1}{2} (t)$ part of the job.

As they are completing 1 job, we can equate the equation:

$\frac{t+2}{6} +\frac{t+1}{3} +\frac{t}{2} =1$

=> $\frac{t+2+2t+2+3t}{6}=1$

=> $\frac{6t+4}{6}=1$

=> 6t+4=6

=> 6t=2

=> $t=\frac{2}{6} =\frac{1}{3}$

Hence, Peter has done $\frac{1}{3} \times(\frac{1}{3} +1)$

= $\frac{1}{3} \times(\frac{4}{3})$

= $\frac{4}{9}$

Hence, option E is the answer.

answered: Guest

the most boring thing ever written

step-by-step explanation:

i am writing something. yes, i plan to make it the most boring thing ever written. i go to the store. a car is parked. many cars are parked or moving. some are blue. some are tan. they have windows. in the store, there are items for sale. these include such things as soap, detergent, magazines, and lettuce. you can enhance your life with these products. soap can be used for bathing, be it in a bathtub or in a shower. apply the soap to your body and rinse. detergent is used to wash clothes. place your dirty clothes into a washing machine and add some detergent as directed on the box. select the appropriate settings on your washing machine and you should be ready to begin. magazines are stapled reading material made with glossy paper, and they cover a wide variety of topics, ranging from news and politics to business and stock market information. some magazines are concerned with more recreational topics, like sports card collecting or different kinds of hairstyles. lettuce is a vegetable.

answered: Guest

you forgot the options, but i found them anyways, the correct answer is "john wilson believes that words and actions based on the intellect are superior to those based on emotions".

john wilson is depicted as an extremely intelligent man. the point of the excerpt is to make a sort of distinction between emotional and rational intelligence. he happens to have both attributes, but he clearly favors his intellectual gifts. at the same time, because of his religious background, he's a little bit conflicted with this and it makes him ashamed.

hope this !