Question

Joe can mow the grass in 2 hr. Tom does the same job in 3 hr. How long would it take the two of them, working together, to mow the grass?

Answer 1

3hrs+2hrs=5hrs
5hrs/2=2.5hrs
the answer is 2.5 hrs

Answer 2

^ Sorry, but that is very illogical thinking and is not the way to answer the question.

Answer 3

sorry but the answer was right tho

Answer 4

but please show how to do it correctly

Answer 5

g = 1 (1 lawn of grass)
g = 1/2t (Joe) + 1/3t(Tom)
g = 3/6t + 2/6t
g = 5/6t
1 = 5/6t
t = 1.2

Correct answer is 1.2 hours.
Let's call @Mertsj to check my work.

Answer 6

ok dude or gal no problamo.

Answer 7

also check my work please

Answer 8

Let's call @Hero , since apparently @Mertsj isn't here.

Answer 9

Joe's rate is 1/2 lawn per hour
Tom's rate is 1/3 lawn per hour
In x hours Joe mows x/2 lawns
In x hours Tom mows x/3 lawns
Together they mow 1 lawn
So:
\[\frac{x}{2}=\frac{x}{3}=1\]

Answer 10

so we were both wrong

Answer 11

Put a plus sign in there. Sorry

Answer 12

Mertsj, the only possible value of x that would satisfy that equation is 0, which is obviously wrong.

Answer 13

J = How many hours Joe can mow alone
T = How many hours Tom can mow alone
x = How many hours they can mow together
\[\frac{J \times T}{J + T} = x\]

Answer 14

Okay, never mind.

Answer 15

\[\frac{x}{2}+ \frac{x}{3}=1\]

Answer 16

\[\frac{2 \times 3}{2 + 3} = x\]

Answer 17

So, x = 1.2, which is what I said before. Thanks Mertsj :).

Answer 18

5x=6
x=6/5 hours to mow the lawn if both boys are working.

Answer 19

losers

Answer 20

yw

Answer 21

I think Mertsj and Hero deserve the best response because they explained it well, while I didn't really explain how I got 1.2 hours.