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At the rate of l liters per s seconds, how many kiloliters (1000 liter

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At the rate of l liters per s seconds, how many kiloliters (1000 liter [#permalink]

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New post 07 Sep 2017, 23:32
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At the rate of L liters per S seconds, how many kiloliters (1000 liters = 1 kiloliter) of blood does the heart pump in X hours?


A. 3,600LX/(1,000S)

B. 1,000LX/(3,600S)

C. 3,600,000XS/L

D. 3,600,000LS/X

E. 3,600,000LXS/

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Re: At the rate of l liters per s seconds, how many kiloliters (1000 liter [#permalink]

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New post 07 Sep 2017, 23:39
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Bunuel wrote:
At the rate of L liters per S seconds, how many kiloliters (1000 liters = 1 kiloliter) of blood does the heart pump in X hours?


A. 3,600LX/(1,000S)

B. 1,000LX/(3,600S)

C. 3,600,000XS/L

D. 3,600,000LS/X

E. 3,600,000LXS/


L litre = S Sec
L/S litre = 1 Sec
L/S * 60 Litre = 1 min
L/S * 60 * 60 Litres = 1 hour
3600L/1000S Kilo Litres = 1 hour
3600LX/1000S Kilo Litres = X hours

A
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At the rate of l liters per s seconds, how many kiloliters (1000 liter [#permalink]

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New post 08 Sep 2017, 00:16
1 hr= 60 min, 1 min=60 sec
Therefore 1 hr=60*60=3600 sec

Rate is L liters per S seconds
therefore Rate in liters per hour is 3600 L/hr
And finally Rate in kilo liters per hour is 3600 KL/1000 hr

Therefore in x hours, 3600xL/1000s blood will be pumped. hence Option A.

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Re: At the rate of l liters per s seconds, how many kiloliters (1000 liter [#permalink]

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New post 11 Sep 2017, 19:47
Bunuel wrote:
At the rate of L liters per S seconds, how many kiloliters (1000 liters = 1 kiloliter) of blood does the heart pump in X hours?


A. 3,600LX/(1,000S)

B. 1,000LX/(3,600S)

C. 3,600,000XS/L

D. 3,600,000LS/X

E. 3,600,000LXS/


L litre = S seconds
In Xhrs there would 3600*X seconds

So volume pumped = 3600*X*L /S litres

In kilolitres 3,600LX/(1,000S)

Ans:A
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Re: At the rate of l liters per s seconds, how many kiloliters (1000 liter [#permalink]

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New post 12 Sep 2017, 03:41
L litres per S sec ---> L/S = 1 sec
1 hr = 3600sec
1 kilolitres = 1000L

In S Sec ---> L litres blood pumped
In X hours(3600S) ---> 3600LX blood pumped
In kilolitres ----> 3600LX/1000S

Option A
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Re: At the rate of l liters per s seconds, how many kiloliters (1000 liter [#permalink]

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New post 15 Sep 2017, 10:10
1
1
Bunuel wrote:
At the rate of L liters per S seconds, how many kiloliters (1000 liters = 1 kiloliter) of blood does the heart pump in X hours?


A. 3,600LX/(1,000S)

B. 1,000LX/(3,600S)

C. 3,600,000XS/L

D. 3,600,000LS/X

E. 3,600,000LXS/


Let’s convert the rate to kiloliters per second.

L liters = L/1000 kiloleters. So, our new rate is:

(L/1000)/S = L/(1000S)

Now we need to determine how much blood is pumped in X hours, or 3600X seconds.

L/(1000S) * 3600X = 3600XL/(1000S)

Answer: A
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Re: At the rate of l liters per s seconds, how many kiloliters (1000 liter [#permalink]

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New post 25 Dec 2017, 00:36
Bunuel wrote:
At the rate of L liters per S seconds, how many kiloliters (1000 liters = 1 kiloliter) of blood does the heart pump in X hours?


A. 3,600LX/(1,000S)

B. 1,000LX/(3,600S)

C. 3,600,000XS/L

D. 3,600,000LS/X

E. 3,600,000LXS/


Bunuel how would you solve this question?
Please explain in simplified form. This one is confusing.
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Re: At the rate of l liters per s seconds, how many kiloliters (1000 liter [#permalink]

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New post 25 Dec 2017, 02:27
1
Buttercup3 wrote:
Bunuel wrote:
At the rate of L liters per S seconds, how many kiloliters (1000 liters = 1 kiloliter) of blood does the heart pump in X hours?


A. 3,600LX/(1,000S)

B. 1,000LX/(3,600S)

C. 3,600,000XS/L

D. 3,600,000LS/X

E. 3,600,000LXS/


Bunuel how would you solve this question?
Please explain in simplified form. This one is confusing.


1000 liters = 1 kiloliter, thus L liters = L/1,000 kiloliter

The rate of L liters per S seconds = \(Rate = \frac{Job \ done}{Time} = \frac{(\frac{L}{1,000})}{S}= \frac{L}{1,000S}\) liters per second.

Since, there are 3,600 seconds in one hour, then the rate in liters per hour would be \(\frac{3,600L}{1,000S}\) liters per hour.

\(Job \ done = Rate*Time = \frac{3,600L}{1,000S}*X = \frac{3,600LX}{1,000S}\).

Answer: A.
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Re: At the rate of l liters per s seconds, how many kiloliters (1000 liter [#permalink]

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New post 25 Dec 2017, 02:30
Buttercup3 wrote:
Bunuel wrote:
At the rate of L liters per S seconds, how many kiloliters (1000 liters = 1 kiloliter) of blood does the heart pump in X hours?


A. 3,600LX/(1,000S)

B. 1,000LX/(3,600S)

C. 3,600,000XS/L

D. 3,600,000LS/X

E. 3,600,000LXS/


Bunuel how would you solve this question?
Please explain in simplified form. This one is confusing.


Check other Conversion problems to practice in Special Questions Directory.

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Hope it helps.
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New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
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Re: At the rate of l liters per s seconds, how many kiloliters (1000 liter   [#permalink] 25 Dec 2017, 02:30
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