Line segament XY represents a street being repaired. So,

Question

Line segament XY represents a street being repaired. So, from X to Y, a person must go south 3 miles, then west 8 miles, then south. From X to Y, the bypass is how much more than the direct way?
1). Directly from X to Y, the speed of 30mph, it needs 20 minutes.
2). All the southbound way is 4miles less than the direct way.

conocieur · Answer

i would go with B

if yes i'll explain

MBADREAM · Answer

I agree with 'B'.

Total southbound distance is 3 +x

Question says it is 4 miles less than the direct route say 'D'.

Therefore, 3+x + 4 = D

But total bypass distance B= is 3+x + 8;

B-4 = D
B= D+4

Bypass distance is 4 mile more than the direct distance.

8-)

gmat_crack · Answer

I also got 4 miles using B only.

Total Bypass = 3 + 8+ x

Accoring to B, 

Direct distance - 4 = 3 + x

Direct distance = 4 + 3 + x

so Bypass - Direct = 4

chuckle · Answer

Agree with B.
But, I got C. Only after seeing explanation, I could see that the answer is B.

elektraa · Answer

I dont understand why it is B?

I thought it should be D. I agree that ST2 alone is sufficient.

But ST 1 is sufficient too....
If the speed and time is given, we can know the distance of XY. If x is the 2nd southbound direction, using pythagoras therom, XY^XY = 8^2 + 
(X+3)^2.

We can therefore solve for x. Thus we can know the diffence in bypass and direct. Anybody agree???

vivek123 · Answer

It should be "D".

We can get the answer by both equations.

Statement 1: Gives d = 10. 
 
(3+z)^2+64 = 100
=> z = 3.

Statement 2: As you guys solved.

Matador · Answer

True, the answer is D. 

Statement 1: gives d = 10

Since the base is 8 and the hypotenuse is 10, we can tell that it is a 3:4:5 right triangle.

3:4:5 ---> 3+z : 8 : 10 ---> 3+z = 2 x 3 = 6 ---> z = 3

chuckle · Answer

Agreed guys.. it is D.

Line segament XY represents a street being repaired. So,

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards