Working at a constant rate, Bob can produce x/3 widgets in 8 minutes. Working at a constant rate, Jack can produce 2x widgets in 40 minutes, where x>0. Which of the following is greater:
a. The number of minutes it will take Bob to produce 5x widgets.
b. The number of minutes it will take Jack to produce 6x widgets.

- anonymous

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- anikhalder

Can you say how many minutes Jack will take to produce x widgets?

- anonymous

8?

- anikhalder

Time taken by Jack to produce 2x widgets = 40 minutes
Hence, time taken by Jack to produce x widgets = ?

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## More answers

- anonymous

?

- anonymous

they're equal?

- anonymous

2 minutes for both?

- anikhalder

If you can make 20 objects in 40 minutes, how long will it take for you to make 1 object?

- anonymous

1/2

- anonymous

2 inutes

- anonymous

minutes

- anikhalder

how did you calculate that?

- anonymous

20/40 = 2/4 = 1/2 = 1 object every 2 minutes

- anikhalder

okay so if Jack makes 2x objects in 40 minutes, how long will it take for him to make 1 object?

- anonymous

|dw:1437682608642:dw|

- anikhalder

Perfect!

- anonymous

|dw:1437682660689:dw|

- anikhalder

No.
Suppose you make 1 object in 2 minutes.
How long will you take to make 5 objects?

- anonymous

10 minutes

- anikhalder

Yes!
So if Jack makes x objects in 20 minutes
How long will it take for him to make 5x objects?

- anikhalder

Sorry, 6x objects I meant

- anonymous

4 minutes?

- anikhalder

If he makes x objects in 20 minutes
Then how can he possibly make 6 times the number of objects that he took 20 minutes to make, in 4 minutes?

- anonymous

oh then is it 100?

- anikhalder

for 5x it is 100
for 6x it is 120

- anonymous

but what about the x...

- anikhalder

Okay treat the question like this:
I make 1 object in 24 minutes
On the other hand, you take 20 minutes to make the same object.
Then tell me now,
How long will I take to make 5 such objects?
How long will you take to make 6 such objects?

- anonymous

|dw:1437683549742:dw|

- anonymous

but what about the x?

- anikhalder

|dw:1437683586813:dw|

- anikhalder

5 x 24 = 120

- anonymous

oops

- anikhalder

In this case, it's like a variable, for example:
Let's take x = 1 , and replace the x with 1 and read the question once again:
Working at a constant rate, Bob can produce 1/3 widgets in 8 minutes. Working at a constant rate, Jack can produce 2 widgets in 40 minutes, where 1>0. Which of the following is greater:
a. The number of minutes it will take Bob to produce 5 widgets.
b. The number of minutes it will take Jack to produce 6 widgets.

- anikhalder

Or if you want take x = 2 or x = 3 or 4 or so on, it's an alphabet which you can replace with positive numbers

- anonymous

hmmmm ook

- anikhalder

|dw:1437684144772:dw|

- anonymous

y r they both 120

- anikhalder

PLEASE NOTE: Here x is not equal to 24 or 20
It means the time taken by Bob to make x objects is 24 minutes
and the time taken by Jack to make x objects is 20 minutes

- anonymous

hmmmm ok...

- anikhalder

##### 1 Attachment

- anonymous

got it thanks u

- anikhalder

Glad to help :))

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