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Suzie had to type 80 pages per day to complete an assignment. She coul

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Suzie had to type 80 pages per day to complete an assignment. She coul [#permalink] New post   Updated on: 10 Nov 2018, 06:56
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Suzie had to type 80 pages per day to complete an assignment. She could type only 60 pages per day and is left with 2000 pages to type in the last 10 days. For how many days has Suzie been typing?

A. 50
B. 60
C. 70
D. 80
E. 90

Source: Experts Global
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B

Originally posted by pushpitkc on 10 Nov 2018, 05:43.
Last edited by Bunuel on 10 Nov 2018, 06:56, edited 1 time in total.
Renamed the topic and edited the question.
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Re: Suzie had to type 80 pages per day to complete an assignment. She coul [#permalink] New post   10 Nov 2018, 06:41
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Let the number of days of typing required to complete the task be x.

So 80x are the total pages as she is required to type 80 pages a day.

She could type only 60 pages per day and is left with 2000 pages to type in the last 10 days translates to
\(60(x - 10) + 2000\)

The total pages will remain unchanged in both scenarios and hence we can solve for x by making the equation..
\(80x = 60(x-10)+2000\)
\(80x -60x= 2000 - 600\)
\(20x = 1400\)
\(x = 70\)

So she has been typing for x - 10 days already or 60 days.

Hence Option (B) is our choice.

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Re: Suzie had to type 80 pages per day to complete an assignment. She coul [#permalink] New post   10 Nov 2018, 23:55
pushpitkc wrote:
Suzie had to type 80 pages per day to complete an assignment. She could type only 60 pages per day and is left with 2000 pages to type in the last 10 days. For how many days has Suzie been typing?

A. 50
B. 60
C. 70
D. 80
E. 90

Source: Experts Global



required number of pages to type regularly: 80.

actual performance = 60 per day .

Days left : 10
work left: 2000.

estimated work for 10 days: 10*80 =800 pages.

It means 1200 pages are extra. this 1200 pages are accumulation of 20 *number of days. 20 pages were gap on regular basis.

20*number of days = 1200

Number of days : 1200/20 = 60.

The best answer is B.
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Re: Suzie had to type 80 pages per day to complete an assignment. She coul [#permalink] New post   11 Nov 2018, 00:48
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Suzie had to type 80 pages per day to complete an assignment. She could type only 60 pages per day and is left with 2000 pages to type in the last 10 days. For how many days has Suzie been typing?

A. 50
B. 60
C. 70
D. 80
E. 90

Here work done = No of days * pages per day

total work = 80 pages per day * x(actual no of days) = 80x

However the total work done as on date is less than 80x because her typing speed is only 60 and the total no of days is also yet to finish(10 days left- given in ques)

as on date work done = 60 * (x-10)
pending job is to type 2000 pages

therefore total work = work done as on date + pending work
80x= 60(x-10)+ 2000
20x= 1400
x=70..the total no of days she works to complete the assignment.
But ques s regarding how many days she has been working....therefore x-10 will give u the no of days

Ans. 60
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Re: Suzie had to type 80 pages per day to complete an assignment. She coul [#permalink] New post   22 Nov 2018, 14:12
pushpitkc wrote:
Suzie had to type 80 pages per day to complete an assignment. She could type only 60 pages per day and is left with 2000 pages to type in the last 10 days. For how many days has Suzie been typing?

A. 50
B. 60
C. 70
D. 80
E. 90

Source: Experts Global


Let the number of days for the assignment be x.

80x = 60(x-10) + 2000
80x = 60x - 600 + 2000
20x = 1400
x = 70

She has been typing for x-10 or 70-10 = 60 days.
B.
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Re: Suzie had to type 80 pages per day to complete an assignment. She coul [#permalink] New post   22 Nov 2018, 21:07
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pushpitkc wrote:
Suzie had to type 80 pages per day to complete an assignment. She could type only 60 pages per day and is left with 2000 pages to type in the last 10 days. For how many days has Suzie been typing?

A. 50
B. 60
C. 70
D. 80
E. 90

Source: Experts Global



This of it like this:

She was supposed to type 80 pages a day to complete. Now 10 days are left so she should have had 800 pages left. But she has 2000 i.e. 1200 extra left.
Why? Because she has been typing 20 pages fewer each day. For how many days has she been typing 20 pages fewer? For 1200/20 = 60 days

Answer (B)
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Re: Suzie had to type 80 pages per day to complete an assignment. She coul [#permalink] New post   06 Jan 2021, 15:53
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pushpitkc wrote:
Suzie had to type 80 pages per day to complete an assignment. She could type only 60 pages per day and is left with 2000 pages to type in the last 10 days. For how many days has Suzie been typing?

A. 50
B. 60
C. 70
D. 80
E. 90


Let, Suzie Rad 60 per day for N days

\(∴ 60N+2000=80(N+10)\)
\(⇒ 60N+2000=80N+800\)
\(⇒20N=1200\)
So, \(N=60\)

The Answer is \(B\)
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Re: Suzie had to type 80 pages per day to complete an assignment. She coul [#permalink] New post   07 Jan 2021, 00:18
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80 pages every day for 10 days: 80 * 100 = 800 pages.

Total left out: 2000 - 800 = 1200

1200 left out because of 20 fewer pages per day. Hence,

=> number of days: \(\frac{1200 }{ 20}\) = 60 days.

Answer B
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Re: Suzie had to type 80 pages per day to complete an assignment. She coul [#permalink] New post   24 Jan 2023, 12:07
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Re: Suzie had to type 80 pages per day to complete an assignment. She coul [#permalink]
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