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# A certain work plan for September requires that a work team, working

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A certain work plan for September requires that a work team, working  [#permalink]

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30 Jul 2018, 00:15
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A certain work plan for September requires that a work team, working every day, produce an average of 200 items per day. For the first half of the month, the team produced an average of 150 items per day. How many items per day must the team average during the second half of the month if it is to attain the average daily production rate required by the work plan?

A. 225
B. 250
C. 275
D. 300
E. 350

NEW question from GMAT® Quantitative Review 2019

(PS06719)

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A certain work plan for September requires that a work team, working  [#permalink]

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30 Jul 2018, 00:57
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2
No. of days in september = 30
we don't need to calculations for this , as we know team is short of 50 items every day or 15*50 for first half (exactly 15 days) and required average is 200 items per day.
therefore , they need to produce 200 per day + what they are short in 1st half {50 per day--> as you are left with exactly 15 days = (50*15) / 15)}
= 200 + 50 = 250

therefore ans B
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Re: A certain work plan for September requires that a work team, working  [#permalink]

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30 Jul 2018, 00:23
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A certain work plan for September requires that a work team, working every day, produce an average of 200 items per day

=> Total number of items needed = 30 * 200 = 6000 (since 30 days in September)

For the first half of the month, the team produced an average of 150 items per day

=> Team already produced 15 * 150 = 2250 items

Number of items remaining to be produced = 6000 - 2250 = 3750

Remaining number of days = 30 - 15 = 15

Average = $$\frac{3750}{15}$$ = 250

Hence option B
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Re: A certain work plan for September requires that a work team, working  [#permalink]

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03 Aug 2018, 08:40
Bunuel wrote:
A certain work plan for September requires that a work team, working every day, produce an average of 200 items per day. For the first half of the month, the team produced an average of 150 items per day. How many items per day must the team average during the second half of the month if it is to attain the average daily production rate required by the work plan?

A. 225
B. 250
C. 275
D. 300
E. 350

NEW question from GMAT® Quantitative Review 2019

(PS06719)

We have no of days=30

Let the required no of items be x.

We have $$\frac{15*150+15*x}{15+15}=200$$
Or, 2250+15x=200*30
Or, 15x=6000-2250=3750
Or, $$x=\frac{3750}{15}=250$$

Ans. (B)
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Re: A certain work plan for September requires that a work team, working  [#permalink]

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03 Aug 2018, 09:20
Bunuel wrote:
A certain work plan for September requires that a work team, working every day, produce an average of 200 items per day. For the first half of the month, the team produced an average of 150 items per day. How many items per day must the team average during the second half of the month if it is to attain the average daily production rate required by the work plan?

A. 225
B. 250
C. 275
D. 300
E. 350

NEW question from GMAT® Quantitative Review 2019

(PS06719)

September has 30 Days so -

$$30* 200 = 15*150 + 15k$$

Or, $$6000 = 2250 + 15k$$

So, k = 250, Answer must be (B)
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Re: A certain work plan for September requires that a work team, working  [#permalink]

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07 Aug 2018, 00:19
using the weighted average to get the combined rate:

150*0.5+0.5*x=200
75+0.5*x=200
0.5*x=125
x=250

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Re: A certain work plan for September requires that a work team, working  [#permalink]

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10 Aug 2018, 18:58
1
Bunuel wrote:
A certain work plan for September requires that a work team, working every day, produce an average of 200 items per day. For the first half of the month, the team produced an average of 150 items per day. How many items per day must the team average during the second half of the month if it is to attain the average daily production rate required by the work plan?

A. 225
B. 250
C. 275
D. 300
E. 350

We can create the equation:

200 = (150 x 15 + n)/30

6000 = 2,250 + n

3,750 = n

So per day, 3,750/15 = 250 items must be produced

Alternate Solution:

For the first half of the month, the team was 50 items below the daily goal each day. Thus, for the second half of the month, the team must produce the required 200 daily units each day, plus 50 extra units each day (to make up for the earlier deficit). Thus, the team must have a daily average of 250 units for the second half of the month..

Alternate Solution:

We see that 150/200 = 3/4 = 0.75 or 25 percent less of the average was produced per day for the first 15 days.

To produce the average for the 25 percent more than the average must be produced or 1.25 x 200 = 250 items per day.
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Re: A certain work plan for September requires that a work team, working  [#permalink]

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14 Aug 2018, 14:22
2
Bunuel

For the sake of simplicity, would you recommend the following approach for this question?

(150+n)/2=200
150+n=400
n=250

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Re: A certain work plan for September requires that a work team, working  [#permalink]

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15 Aug 2018, 00:16
gatz wrote:
Bunuel

For the sake of simplicity, would you recommend the following approach for this question?

(150+n)/2=200
150+n=400
n=250

This works because the time period is split in half: For the first half of the month, the team produced an average of 150 items per day. How many items per day must the team average during the second half of the month if it is to attain the average daily production rate required by the work plan?

However if it were: For the first third of the month, the team produced an average of 150 items per day. How many items per day must the team average during the remaining two thirds of the month if it is to attain the average daily production rate required by the work plan? Then this approach won''t give the correct answer.
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A certain work plan for September requires that a work team, working  [#permalink]

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02 Oct 2018, 05:51
September month has 30 days.

Ideal avg. production=200/day
For first 15 days item production-150/day
Difference/day=200-150=>50 items/day (produced less per day for 15 days)
That implies to maintain avg. item production =200/day, we should get 50 item production extra/day in addition to 200/day (50+200) for next 15 days=250/day

(B)
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Re: A certain work plan for September requires that a work team, working  [#permalink]

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15 Oct 2018, 12:02
Number sense approach would be to realize that it is 50 units below the target for half of the month so it must be be compensated by an addition of 50 for the other half of the month.

200 + 50 = 250

The other way is

$$30 * 200 = 15 * 150 + 15 * x$$

This can be rewritten as $$30 * 200 = 15 (150+x)$$

$$2 * 200 = (150+x)$$

$$400 = 150 + x$$

$$x = 400 - 150 = 250$$

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Re: A certain work plan for September requires that a work team, working  [#permalink]

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27 Aug 2019, 13:16
This would be a much simpler approach:
since the question clearly talks about half and a half month,
i would just pick 2days, rather than 30days/2 .. 15 and 15 days.. to simplify the calculation.
for 2 days, the productivity would be 200*2= 400 units total.
with 150 units/day produced for half a month, in our case 1 day.. so 150 units..
so we are lagging behind by 400-150=250 units.
250 units need to be produced to catch up.
Re: A certain work plan for September requires that a work team, working   [#permalink] 27 Aug 2019, 13:16
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