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An empty bucket being filled with paint at a constant rate takes 6 min

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An empty bucket being filled with paint at a constant rate takes 6 min [#permalink]

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New post 30 Jun 2015, 04:56
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Question Stats:

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An empty bucket being filled with paint at a constant rate takes 6 minutes to be filled to 7/10 of its capacity. How much more time will it take to fill the bucket to full capacity?

A. 7/18
B. 9/18
C. 2
D. 18/7
E. 18/5

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Re: An empty bucket being filled with paint at a constant rate takes 6 min [#permalink]

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New post 30 Jun 2015, 05:18
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An empty bucket being filled with paint at a constant rate takes 6 minutes to be filled to 7/10 of its capacity. How much more time will it take to fill the bucket to full capacity?

A. 7/18
B. 9/18
C. 2
D. 18/7
E. 18/5

Solution -

Work and Time are directly proportional. W1/W2=T1/T2
7/10 work in 6 mins
1 work in T mins

(7/10)/1 = 6/T -> T = 60/7 mins.

Remaining minutes to fill the tank = 60/7 - 6 = 18/7 mins. ANS D.
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Re: An empty bucket being filled with paint at a constant rate takes 6 min [#permalink]

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New post 30 Jun 2015, 07:31
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An empty bucket being filled with paint at a constant rate takes 6 minutes to be filled to 7/10 of its capacity. How much more time will it take to fill the bucket to full capacity?
3/10 remains. So 6 minutes/(7/10) = x minutes/ (3/10). Solving for x yields 18/7.

A. 7/18
B. 9/18
C. 2
D. 18/7
E. 18/5
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Re: An empty bucket being filled with paint at a constant rate takes 6 min [#permalink]

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New post 30 Jun 2015, 10:18
It will be more than 2 and less than 3...It can only be D.
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An empty bucket being filled with paint at a constant rate takes 6 min [#permalink]

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New post Updated on: 30 Jun 2015, 11:06
2
Rate =7/10 *C/6= 7/60 *C
So for full capacity time taken =60/7
Extra time taken to fill the capacity = time for full tank -time for 7/10 capacity = 60/7-6 =18/7


Hence answer is D
Thanks,

Originally posted by lipsi18 on 30 Jun 2015, 10:31.
Last edited by lipsi18 on 30 Jun 2015, 11:06, edited 1 time in total.
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Re: An empty bucket being filled with paint at a constant rate takes 6 min [#permalink]

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New post 30 Jun 2015, 10:47
2
70% in 6 minutes, so 30% in 3*6/7 = 18/7 mins.
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Re: An empty bucket being filled with paint at a constant rate takes 6 min [#permalink]

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New post 30 Jun 2015, 10:48
1
suppose , capacity = 70 .
So to fill 7/10 of 70 i.e. 49 , it took 6 mints .
Hence to fill 70 it will take = 10*6/7 = 60/7 mints
So additional time = 60/7 - 6 = 18/7
Answer = d
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Re: An empty bucket being filled with paint at a constant rate takes 6 min [#permalink]

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New post 06 Jul 2015, 02:10
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Bunuel wrote:
An empty bucket being filled with paint at a constant rate takes 6 minutes to be filled to 7/10 of its capacity. How much more time will it take to fill the bucket to full capacity?

A. 7/18
B. 9/18
C. 2
D. 18/7
E. 18/5

Kudos for a correct solution.


MANHATTAN GMAT OFFICIAL SOLUTION:

Use the RT = W equation to solve for the rate, with t = 6 minutes and w = 7/10:
r(6 minutes) = 7/10
r = 7/60 buckets per minute.

Then, substitute this rate into the equation again, using 3/10 for w (the remaining work to be done):
7/60*t = 3/10;
t = 18/7.

Answer: D.
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Resources:
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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.


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Re: An empty bucket being filled with paint at a constant rate takes 6 min [#permalink]

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New post 26 Jul 2016, 07:38
Bunuel wrote:
An empty bucket being filled with paint at a constant rate takes 6 minutes to be filled to 7/10 of its capacity. How much more time will it take to fill the bucket to full capacity?

A. 7/18
B. 9/18
C. 2
D. 18/7
E. 18/5

Kudos for a correct solution.

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1469543882016.jpg
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Re: An empty bucket being filled with paint at a constant rate takes 6 min [#permalink]

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New post 04 Apr 2018, 00:15
1 litre in 6/7 min
7 litre in 6/7 ×7 = 6 min
Remaining 3 litres in 6/7× 3 = 18/7 min

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Re: An empty bucket being filled with paint at a constant rate takes 6 min [#permalink]

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New post 06 Apr 2018, 08:49
Bunuel wrote:
An empty bucket being filled with paint at a constant rate takes 6 minutes to be filled to 7/10 of its capacity. How much more time will it take to fill the bucket to full capacity?

A. 7/18
B. 9/18
C. 2
D. 18/7
E. 18/5


We can create the proportion:

6/(7/10) = n/(3/10)

60/7 = 10n/3

180 = 70n

180/70 = n

18/7 = n

Answer: D
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Re: An empty bucket being filled with paint at a constant rate takes 6 min   [#permalink] 06 Apr 2018, 08:49
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