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A boat traveled a total of 600 miles in two days. If the distance it

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rayasif
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A boat traveled a total of 600 miles in two days. If the distance it [#permalink] New post   17 Oct 2010, 08:28
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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
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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.
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BrentGMATPrepNow
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Re: A boat traveled a total of 600 miles in two days. If the distance it [#permalink] New post   15 May 2018, 14:17
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rayasif wrote:
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


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
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Re: A boat traveled a total of 600 miles in two days. If the distance it [#permalink] New post   17 Oct 2010, 08:37
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rayasif wrote:
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.

Question:
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?

answer choices: 250, 275, 350, 375, 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.



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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Re: A boat traveled a total of 600 miles in two days. If the distance it [#permalink] New post   16 Jul 2017, 08:18
rayasif wrote:
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


Total distance \(= 600\)

Let the distance traveled on first day be \(= x\)

Let the distance traveled on second day be \(= y\)

Total distance \(=> x + y = 600\) --------- (i)

The distance it traveled on the first day was \(150\) miles less than twice the distance it traveled on the second day.

\(x = 2y - 150\) -------- (ii)

Substituting value of \(x\) from (ii) to (i), we get;

\(2y - 150 + y = 600\)

\(3y = 600 + 150 = 750\)

\(y = \frac{750}{3} = 250\) miles

Answer (A)...

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Re: A boat traveled a total of 600 miles in two days. If the distance it [#permalink] New post   16 Jul 2017, 09:11
rayasif wrote:
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
Show Spoiler
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.


Let x be the distance traveled on the first day.
So, distance traveled on 2nd day = 600 -x

x= 2(600-x) - 150
3x = 1050
x = 350

distance traveled on 2nd day = 600 - 350 = 250

Answer A
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Re: A boat traveled a total of 600 miles in two days. If the distance it [#permalink] New post   28 May 2018, 19:50
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rayasif wrote:
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


We can let d = distance traveled on the second day. Thus, the distance traveled on the first day = 2d - 150. We can create the equation:

2d - 150 + d = 600

3d = 750

d = 250

Answer: A
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Re: A boat traveled a total of 600 miles in two days. If the distance it [#permalink] New post   10 Dec 2022, 02:03
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Re: A boat traveled a total of 600 miles in two days. If the distance it [#permalink]
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