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A boat traveled a total of 600 miles in two days. If the distance it t
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01 Apr 2021, 02:08
01 Apr 2021, 02:08
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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
A. 250
B. 275
C. 350
D. 375
E. 450
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Joined: 10 Apr 2015
Posts: 6218
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Re: A boat traveled a total of 600 miles in two days. If the distance it t
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01 Apr 2021, 05:33
01 Apr 2021, 05:33
1
Carcass 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
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
Re: A boat traveled a total of 600 miles in two days. If the distance it t
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30 Apr 2024, 14:29
30 Apr 2024, 14:29
Let x = miles travelled on 2nd day
2x - 150 = miles travelled on 1st day. But we know both miles travelled = 600miles.
So x + 2x - 150 = 600. Simplify to get 3x = 750. Therefore x = 250.
2x - 150 = miles travelled on 1st day. But we know both miles travelled = 600miles.
So x + 2x - 150 = 600. Simplify to get 3x = 750. Therefore x = 250.
