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# On a certain nonstop trip, Marta averaged x miles per hour

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Intern
Joined: 08 Nov 2008
Posts: 38
On a certain nonstop trip, Marta averaged x miles per hour [#permalink]

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08 Nov 2008, 19:40
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

On a certain nonstop trip, Marta averaged x miles per hour for 2 hours and y miles per hour for the remaining 3 hours. What was her average speed, in miles per hour, for the entire trip?
(1) 2x + 3y = 280
(2) y = x + 10

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.
Intern
Joined: 04 Nov 2008
Posts: 15

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08 Nov 2008, 19:53
gorden wrote:
On a certain nonstop trip, Marta averaged x miles per hour for 2 hours and y miles per hour for the remaining 3 hours. What was her average speed, in miles per hour, for the entire trip?
(1) 2x + 3y = 280
(2) y = x + 10

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

the answer is ( A )

let
Sp = is the avg speed
x = is the first speed
y = is the second speed

T1= 2 hours
T2= 3 hours

Distance = D1 + D2

D1 = x*2
D2 = y*3

Total time = 5

Sp = total Distance/ total Time

SP = (D1 + D2) / 5

Sp = (x * 2 + y * 3)/5

now (I) is suffieicent because it give us the nominator
(II) is not sufficent because it give us 2 variable that can not be inserted in our equation

so the answer is A
Re: speed--29   [#permalink] 08 Nov 2008, 19:53
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# On a certain nonstop trip, Marta averaged x miles per hour

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