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16 Sep 2014, 00:56
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
66% (02:52) correct
34%
(03:00)
wrong
based on 267
sessions
History
Date
Time
Result
Not Attempted Yet
Tom read a 480-page book by reading a fixed number of pages each day. If he had read 16 pages more each day, he would have finished the book 5 days earlier. How many days did Tom spend reading the book?
A. 10
B. 12
C. 15
D. 16
E. 18
A. 10
B. 12
C. 15
D. 16
E. 18
16 Sep 2014, 00:56
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Official Solution:
Tom read a 480-page book by reading a fixed number of pages each day. If he had read 16 pages more each day, he would have finished the book 5 days earlier. How many days did Tom spend reading the book?
A. 10
B. 12
C. 15
D. 16
E. 18
Let's assume that Tom spent \(d\) days reading the 480-page book. Therefore, he read an average of \(\frac{480}{d}\) pages per day.
If he had increased his reading speed by 16 pages per day, he would have finished the book in \(d-5\) days, which means he would have read an average of \(\frac{480}{d-5}\) pages per day.
Since we know that the second reading speed is 16 pages per day faster than the first one, we can set up the equation \(\frac{480}{d}=\frac{480}{d-5}-16\). At this point, it would be more effective to substitute the answer choices rather than attempting to solve for the value of \(d\).
After testing answer choices, we find that option C, which corresponds to \(d=15\), satisfies the equation: \(\frac{480}{15}=\frac{480}{15-5}-16\). Therefore, Tom spent 15 days reading the book.
Answer: C
Tom read a 480-page book by reading a fixed number of pages each day. If he had read 16 pages more each day, he would have finished the book 5 days earlier. How many days did Tom spend reading the book?
A. 10
B. 12
C. 15
D. 16
E. 18
Let's assume that Tom spent \(d\) days reading the 480-page book. Therefore, he read an average of \(\frac{480}{d}\) pages per day.
If he had increased his reading speed by 16 pages per day, he would have finished the book in \(d-5\) days, which means he would have read an average of \(\frac{480}{d-5}\) pages per day.
Since we know that the second reading speed is 16 pages per day faster than the first one, we can set up the equation \(\frac{480}{d}=\frac{480}{d-5}-16\). At this point, it would be more effective to substitute the answer choices rather than attempting to solve for the value of \(d\).
After testing answer choices, we find that option C, which corresponds to \(d=15\), satisfies the equation: \(\frac{480}{15}=\frac{480}{15-5}-16\). Therefore, Tom spent 15 days reading the book.
Answer: C
General Discussion
raarun
Joined: 01 Jul 2010
Last visit: 16 Mar 2018
Posts: 51
Given Kudos: 6
Location: India
Schools: Mannheim"18 Cranfield '18 WBS '19 Erasmus '18
GMAT 1: 660 Q43 V38
GPA: 3.4
17 Nov 2015, 15:22
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Why cant this be solved by the following equation
\(\frac{480}{N} -\frac{480}{N+16} =5\)
\(\frac{480}{N} -\frac{480}{N+16} =5\)
