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oops.. for t, what do you get?

3 hrs?

hint:
what is:
\[\frac{1}{4} + \frac{1}{3} = ...?\]

\[\frac{ 7 }{ 12 }\]

ok

namely:
\[t = \frac{{12}}{7}\]

so the answer is D then?

yes!

Thanks ! can you help with the others
?

ok!
Question 4)

oops...whereas the working rate of Karl

as before, we can write:
\[\Large \left( {\frac{1}{{30}} + \frac{1}{{20}}} \right)t = 1\]

what is t?

\[\frac{ 5 }{ 15 } ?\]

we have:
\[\frac{1}{{30}} + \frac{1}{{20}} = \frac{{2 + 3}}{{60}} = ...?\]

i entered the wrong thing my bad!

\[\frac{ 1 }{ 12 }\]

ok!
So we have:
\[\frac{t}{{12}} = 1\]

and therefore:
\[t = 12 \times 1 = ...?\]

12?

that's right!

it is 12 minutes

Ok Thanks!

Have time for another one?

yes!

question 3)

ok

I'm pondering....

hint:
\[\Large \frac{1}{x} = \frac{1}{3} - \frac{1}{5}\]

2/15

yes! What is the right option?

D?

I think that option D is wrong

yes that would be A

yes! correct!

I dont get it though

now, is it clear?

Oh yes I do

Thanks

ok!

question 2)

hint:
\[\Large \frac{1}{{240}} + \frac{1}{{80}} = \frac{{1 + 3}}{{240}} = ...?\]

please wait a moment, I think to have made an error

ok

the working rate of Gladies is:
\[\Large \frac{W}{{240 - 80}} = \frac{W}{{160}}\]

so the right equation is:
\[\Large \left( {\frac{W}{{240}} + \frac{W}{{240 - 80}}} \right)t = W\]

or:
\[\Large \left( {\frac{1}{{240}} + \frac{1}{{160}}} \right)t = 1\]

after a substitution, we have:
\[\Large \frac{5}{{480}}t = 1\]
what is t?

just simplify it?

hint:
\[\Large t = \frac{{480}}{5} = ...?\]

96

I get that one

So the last one

ok! question 1)

so the answer is 60?

no, since we have to compute the value of x

hint:
\[\Large \frac{1}{x} = \frac{1}{{40}} - \frac{1}{{60}} = \frac{{3 - 2}}{{120}} = ...\]

please continue my computation

1/120

ok! so we have:
\[\Large x = \frac{{120}}{1} = ...{\text{minutes}}\]

thanks very much I got 80%

number 5 was wrong

are you sure?

I'm very sorry, the correct answer is option B.
Sorry again

That is totally fine

Thanks!

thanks for your comprehension!

Thanks for helping me

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