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A mother asked her daughter to type a manuscript. The daughter claimed: " I will type an average of 20 pages a day."

She typed the first half of the manuscript rather lazily, at 10 pages a day. To make up for it, she typed the second half at 30 pages a day. "See, I did average 20 pages a day", the daughter concluded.

"No, you didn't," her mother said.

Who was right?

 Jul 7, 2020
 #1
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Mom is correct....   pick an example   say manuscript is 120 pages

60 pages at   10/day  = 6 days

60 pages at    30/day = 2 days

 

8 days total       120 pages/8days = 15 pages per day average

 

 

You can try it with other manuscript #'s too....results are the same.....

 

 

let 2x be the number of pages   then   x = 1/2 of the pages

 

 

 

2x pages   /  (x pages /10 pages/day   +  x pages / 30 pages/day)  = average

2/(1/10 + 1/30)  = 15 pages/day

 Jul 8, 2020
edited by ElectricPavlov  Jul 8, 2020

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