Question

someone help im not smart! :/
It takes Sam 3 hours to do all of the yard work, but it takes his brother Carl only 2 hours. How long, in hours, would take them to do the yard work if they work together?
A. 5/6
B. 2/3
C. 6/5
D. 3/2

Answer 1

@bingtamekia

Answer 2

Probably 6/5

Answer 3

Is that right

Answer 4

@dan815 something in the back of my mind tells me that you had an interesting and really logical way to explain this

Answer 5

haha what? @Mimi_x3 and i wont find out until i finish the quiz! heehe @bingtamekia

Answer 6

I'm thinking 3/2, master @dan815 tell me I'm right mate.

Answer 7

agh :/ whats the answer lol

Answer 8

it is 6/5

Answer 9

The answer is 6/5
But I just used my intuition Because if Sam and Carl worked at the same pace of 3 hr to clean up the yard if they both worked together it would take them half the time which is 1.5 hrs
Umm 3/2=1.5
If they both worked at a rate of 2 hrs to clean up the yard then if they both worked together it wld take them half the time which would be 1 hr
Now since one worked at a rate of 2 hrs per the yard and the otehr at 3 hrs per the yard we can assume that it took them somewhere btwn 1<x<1.5 hrs
Hence the only option which is greater than 1 and less than 1.5 is 6/5

Answer 10

while we're here...........what is the LCD of 1/3x, 4/5x^2, 2+x/6x?

Answer 11

lol not your answer machine :)

Answer 12

haha i know! i just didnt want to close the question i didnt know u were typing

Answer 13

Nice explanation MImi

Answer 14

you dont have to answer lmao

Answer 15

thank you very much by the way

Answer 16

And mathematically ....
we use proportions
\[\frac{1}{3}+\frac{1}{2}=\frac{1}{x}\]
\[\frac{2}{6}+\frac{3}{6}=\frac{1}{x}\]
\[\frac{5}{6}=\frac{1}{x}\]
\[x=\frac{6}{5}\]