DS - time speed

Question

Can anyone explain what the first stem means.

amit_drummer · Answer

The first stem basically means, X crossed Y for the second time. This stem does not indicate anything about TIMES, hence is insufficient.

The answer to this problem would be B.

Total miles = 10,000
Track size = 400
No. of laps = 10,000 / 400 = 25

Now X takes 60 seconds/lap, for the whole race (25 laps) = 25 x 60
Now Y takes 62.4 seconds/lap, for the whole race (25 laps) = 25 x 62.4

Total race time for X : Total race time for Y 
=> (25 x 60) / (25 x 62.4) = 25/26

dushver · Answer

A is insufficient. 

My choice is B

Alex_NL · Answer

I would choose B too.

St.1 doesnt indicate anything about the time for X and Y
St.2 gives us the average of both x and y, while we know they both had to run 25 laps.

Regards,

Alex

dushver · Answer

The first stem means that the first runner crossed the second two times. The net distance between them is therefore 400x2=800.

lovely · Answer

assuming average times over the race, doesn't A) indicate that X was two laps ahead of Y? thus, meaning that X had finished 10,000 meters, whereas Y had only finished 9,200 meters? so isn't the ratio of time the same as the ratio of distance? thus the ratio of Y to X was 9200 to 10000, or 23/25?

lastochka · Answer

well, we know that while X (first runner) completed 25 laps, Y (second runner) completed 23 laps. Hence, in the same time, one completed 10,000, while the other completed 9,200. I think, we can pick any time for T here and get the relationship of t1 to t2. 
hence I'd go for D

ywilfred · Answer

I'll deal with the simple one first. 

From the question, we know they need to do 10,000/400=25 laps

From (2), X takes 60*25 = 1500 seconds, and Y takes 62.4*25 = 1560 seconds
With this in hand, (2) is sufficient.

Now we need to consider (1).
When X finishes 25 laps, he lapped Y for the second time. This means he is 800 meters ahead.
All we have is information about the distance X and Y have already ran, but nothing about their speed, and so we can conclude the time they took and hence the ratio of their time.
Therefore (1) is not sufficient.

(B) should be the answer.

anuramm · Answer

The OA is B.
I couldn't understand what A means exactly. Thanks guys for explaining the meaning.

twixt · Answer

I think what is tricky whith statement 1 is that we do not know how much time will need Y to complete the 2 remaining laps after he was crossed by X.

I would also choose B

hardworker_indian · Answer

Wow! I choose D considering that Y travels at a constant speed. Good catch.

Just for discussion, If the question is:
 Two Runners, X and Y, competed in a 10000 m run. The race took place in a oval track 400m long. What is tha ration od X's time to Y's time , if they run at constant speed ?
(1) Just a X crossed the finish line, he lapped Y for the second time.
(2) X averaged 60s per lap, and Y averaged 62.4 s per lap. 

the answer would be (D).

DS - time speed

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