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If any one person can complete a given task in 2 hours, how many peopl

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If any one person can complete a given task in 2 hours, how many peopl  [#permalink]

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New post 20 Mar 2017, 03:39
1
1
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A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

87% (00:44) correct 13% (01:05) wrong based on 88 sessions

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Re: If any one person can complete a given task in 2 hours, how many peopl  [#permalink]

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New post 20 Mar 2017, 05:28
I get A as an OA. Can anyone confirm please, I tend to struggle with rate questions.
Amount=Rate*Time
1=Rate*2---Rate=1/2
so 1/2*10=5, hence 5 people should be hired
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Re: If any one person can complete a given task in 2 hours, how many peopl  [#permalink]

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New post 20 Mar 2017, 06:50
1
unpa0814 wrote:
I get A as an OA. Can anyone confirm please, I tend to struggle with rate questions.
Amount=Rate*Time
1=Rate*2---Rate=1/2
so 1/2*10=5, hence 5 people should be hired


Hiunpa0814

Ans should be 12 ....

1*2 = No. of persons *10/60 (since 10 minutes = 10/60 hrs)

thus no. of persons = 60*2/10 =12

Ans C
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Re: If any one person can complete a given task in 2 hours, how many peopl  [#permalink]

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New post 20 Mar 2017, 06:55
1
unpa0814 wrote:
I get A as an OA. Can anyone confirm please, I tend to struggle with rate questions.
Amount=Rate*Time
1=Rate*2---Rate=1/2
so 1/2*10=5, hence 5 people should be hired



unpa0814

Better if u understand this way

rate of person is 1/2 ,it means that man does 1/2 work in 1 hrs

let N be the no. of persons then thier rate will be N/2
and the time they will finsh =10 minutes or their rate should be 1/10 or 60/10 (since 10minutes =10/60 hrs)

thus N/2 = 60/10
N=12

Ans C
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If any one person can complete a given task in 2 hours, how many peopl  [#permalink]

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New post 20 Mar 2017, 07:56
1 persons - 2 Hours - Task
1 p - 1 H - T/2
1 p - 10X6 min - T/2
1p - 10 min - T/12
12p - 10 min - T

So, 12 persons should be hired to complete the given task in 10 min. C

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If any one person can complete a given task in 2 hours, how many peopl  [#permalink]

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New post 20 Mar 2017, 09:13
I found this to be really tricky. I got it wrong at first because I didn't convert minutes and hours.

It takes 1 person to finish one task in 2 hours. Convert this to 2*60 = 120 minutes.
How many people to finish the same task in ten minutes?

Well, if it takes 1 person 120 minutes to finish the task, then in ten minutes they will finish 10/120 = 1/12 of the task.
If one person can finish 1/12 in ten minutes, then it will take 12 people to finish 12/12. So the answer is C, 12 people.

Quote:
1 person * (10 min/120 min) project * x people = (12/12) project
x = 12
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Re: If any one person can complete a given task in 2 hours, how many peopl  [#permalink]

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New post 20 Mar 2017, 13:04
3
work = rate x time
120 = 1 x 120

work = rate x time
120 = r x 10
r = 12

Therefore, the answer is C
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Re: If any one person can complete a given task in 2 hours, how many peopl  [#permalink]

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New post 21 Mar 2017, 02:36
Bunuel wrote:
If any one person can complete a given task in 2 hours, how many people should be hired to complete the task in 10 minutes?

A. 5
B. 6
C. 12
D. 20
E. 120


rate of the person = 1/2 per hr or 1/120 per minute
rate of n person = n/120

n/120 . 10 = 1
n = 12
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Re: If any one person can complete a given task in 2 hours, how many peopl  [#permalink]

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New post 21 Mar 2017, 18:37
Bunuel wrote:
If any one person can complete a given task in 2 hours, how many people should be hired to complete the task in 10 minutes?

A. 5
B. 6
C. 12
D. 20
E. 120


m1*h1 = m2 * h2

1 * 120 = x * 10

x=12 Ans C
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Re: If any one person can complete a given task in 2 hours, how many peopl  [#permalink]

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New post 22 Mar 2017, 08:42
1
Bunuel wrote:
If any one person can complete a given task in 2 hours, how many people should be hired to complete the task in 10 minutes?

A. 5
B. 6
C. 12
D. 20
E. 120


We are given that the rate of 1 person to complete a task is 1/2. We need to determine how many people are needed to complete the task in 10 minutes or 1/6 of an hour. If we let n = the number of people needed, then n x (1/2) = n/2 is the rate of these n people. We can now create the following equation:

rate x time = work

n/2 x 1/6 = 1

n/12 = 1

n = 12

Answer: C
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Re: If any one person can complete a given task in 2 hours, how many peopl &nbs [#permalink] 22 Mar 2017, 08:42
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