anonymous
  • anonymous
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.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anikhalder
  • anikhalder
Can you say how many minutes Jack will take to produce x widgets?
anonymous
  • anonymous
8?
anikhalder
  • 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
?
anonymous
  • anonymous
they're equal?
anonymous
  • anonymous
2 minutes for both?
anikhalder
  • anikhalder
If you can make 20 objects in 40 minutes, how long will it take for you to make 1 object?
anonymous
  • anonymous
1/2
anonymous
  • anonymous
2 inutes
anonymous
  • anonymous
minutes
anikhalder
  • anikhalder
how did you calculate that?
anonymous
  • anonymous
20/40 = 2/4 = 1/2 = 1 object every 2 minutes
anikhalder
  • anikhalder
okay so if Jack makes 2x objects in 40 minutes, how long will it take for him to make 1 object?
anonymous
  • anonymous
|dw:1437682608642:dw|
anikhalder
  • anikhalder
Perfect!
anonymous
  • anonymous
|dw:1437682660689:dw|
anikhalder
  • anikhalder
No. Suppose you make 1 object in 2 minutes. How long will you take to make 5 objects?
anonymous
  • anonymous
10 minutes
anikhalder
  • anikhalder
Yes! So if Jack makes x objects in 20 minutes How long will it take for him to make 5x objects?
anikhalder
  • anikhalder
Sorry, 6x objects I meant
anonymous
  • anonymous
4 minutes?
anikhalder
  • 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
  • anonymous
oh then is it 100?
anikhalder
  • anikhalder
for 5x it is 100 for 6x it is 120
anonymous
  • anonymous
but what about the x...
anikhalder
  • 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
  • anonymous
|dw:1437683549742:dw|
anonymous
  • anonymous
but what about the x?
anikhalder
  • anikhalder
|dw:1437683586813:dw|
anikhalder
  • anikhalder
5 x 24 = 120
anonymous
  • anonymous
oops
anikhalder
  • 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
  • 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
  • anonymous
hmmmm ook
anikhalder
  • anikhalder
|dw:1437684144772:dw|
anonymous
  • anonymous
y r they both 120
anikhalder
  • 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
  • anonymous
hmmmm ok...
anikhalder
  • anikhalder
anonymous
  • anonymous
got it thanks u
anikhalder
  • anikhalder
Glad to help :))

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