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17 Oct 2010, 08:28
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
77% (01:23) correct
23%
(01:23)
wrong
based on 201
sessions
History
Date
Time
Result
Not Attempted Yet
A boat traveled a total of 600 miles in two days. If the distance it traveled on the first day was 150 miles less than twice the distance it traveled on the second day, what was the distance, in miles, that it traveled on the second day?
A. 250
B. 275
C. 350
D. 375
E. 450
Answer explanation
A. 250
B. 275
C. 350
D. 375
E. 450
Answer explanation
Yes. Backsolve, starting with C. If the boat traveled 350 miles on the second day, then it traveled (2x350-150)=550miles on the first day. The total distance was therefore miles (550+350)=900. This is too big, so you should eliminate B, C and E. For choice A: if the boat traveled 250 miles on the second day, then it traveled (2x250-150)=350 miles on the first day. The total distance was therefore (350+250)=600 miles. This is the number that you were looking for.
I cannot understand this question. By reading the question, I think first day distance should be less than the second day's 2x distance and less 150 miles.
I cannot understand this question. By reading the question, I think first day distance should be less than the second day's 2x distance and less 150 miles.
15 May 2018, 14:17
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rayasif
Let F = number of miles traveled on first day
Let S = number of miles traveled on second day
A boat traveled a total of 600 miles in two days.
So, we can write: F + S = 600
The distance it traveled on the first day was 150 miles less than twice the distance it traveled on the second day
So, we can write: F = 2S - 150
We now have two equations:
F + S = 600
F = 2S - 150
Take the top equation and subtract S from both sides to get: F = 600 - S
Now take F = 2S - 150 and replace F with 600 - S to get....
600 - S = 2S - 150 [now solve for S]
Add S to both sides: 600 = 3S - 150
Add 150 to both sides: 750 = 3S
Solve: S = 250
Answer: A
Cheers,
Brent
General Discussion
17 Oct 2010, 08:37
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rayasif
Just go as the question says.
Lets assume that boat has travelled x miles on first day and y miles on 2nd day.
According to question x+y=600 miles---------equation 1
If the distance it traveled on the first day was 150 miles less than twice the distance it traveled on the second day
It means x=2y-150 ----equation 2
Solving equation 1 and equation 2 we get y=250 hence answer is (A)
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