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On Sunday morning, a printing press printed its newspapers a

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On Sunday morning, a printing press printed its newspapers a

by AAPL » Fri Aug 30, 2019 7:51 am

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On Sunday morning, a printing press printed its newspapers at a constant rate from 1:00 AM to 4:00 AM. How many newspapers did the printing press print on Sunday morning?

1) The printing rate on Saturday morning was twice that of Sunday morning.
2) On Saturday morning, the printing press ran at a constant rate from 1:00 AM to 3:00 AM, stopped for a half hour, and then ran at the same constant rate from 3:30 AM to 5:30 AM, printing a total of 4,000 newspapers.

OA C
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Source: — Data Sufficiency |
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edited:

by deloitte247 » Sat Aug 31, 2019 6:21 pm

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$$Rate\ of\ printing\ =\ \frac{total\ number\ of\ paper\ printed}{time\ taken\ \left(in\ hours\right)}$$
Question=> how many news paper did the printing press print on sunday morning?
Total number of paper printed = rate of printing * time taken
Time taken = 1:00am to 4:00am = 3 hours
Rate of printing = ?? unknown

Statement 1 => The rate of printing on Saturday morning was twice that of Sunday morning
Rate on Saturday = rate on Sunday * 2
Rate on Sunday = $$\frac{Rate\ on\ saturday}{2}$$
But the exact value for the rate on Saturday was not given so we cannot find the rate on Sunday. Hence statement 1 is NOT SUFFICIENT.

Statement 2 =>On Saturday morning, the printing press rant at a constant rate from 1:00 am to 3:00 am, stopped for a half-hour and then ran at the same constant rate from 3:30 am to 5:30 am printing a total of 4000 newspapers
Total newspaper = 4000; time taken = 2 + 2 = 4 hours
Printing rate on Saturday = $$\frac{4000}{4}=1000\ papers\ per\ hour$$
This statement only refers to Saturday. Hence, statement 2 is NOT SUFFICIENT

Combining both statements together =>
Rate on Sunday = $$\frac{Rate\ on\ saturday}{2}=\frac{1000}{2}=500$$
Total number of papers printed on sunday = 500 * 3

Both statements together are SUFFICIENT
Therefore, answer = option C
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