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Train T leaves from town A for town B and travels at a [#permalink]
15 Oct 2006, 11:59

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A

B

C

D

E

Difficulty:

5% (low)

Question Stats:

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Train T leaves from town A for town B and travels at a constant speed of x mph. Train S leaves town B for town A, later than the train T, and also travels at a constant speed of y mph. Will they meet closer to A or to B?

1) y>x
2) They finished their trips at the same time

Train T leaves from town A for town B and travels at a constant speed of x mph. Train S leaves town B for town A, later than the train T, and also travels at a constant speed of y mph. Will they meet closer to A or to B?

1) y>x
2) They finished their trips at the same time

ONE

INSUFF ...WE NEED TO KNOW THE TIME LAPSED BETWEEN BOTH TRAINS LEAVING THE STATIONS
2) IF THEY REACHED THE SAME DITINATION AT THE SAME TIME

Train T leaves from town A for town B and travels at a constant speed of x mph. Train S leaves town B for town A, later than the train T, and also travels at a constant speed of y mph. Will they meet closer to A or to B?

1) y>x
2) They finished their trips at the same time

I would say E as well

Since we don't know how much later train S leaves than train T.

(2) is sufficient, best way to see it is by drawing it on paper. We know that both trains finish their trips at the same time, so we know y>x

If we cut the distance in half, train S will be in the middle and, regardless of how much slower train T is, it will always be a little bit closer to B, therefore they meet closer to town B

By using both statements, I can think of situations which produce both answers.

Since we don't know how long train S waits to leave or how fast either of them go, train S could leave either before S gets to the halfway point, or after train S gets to the halfway point.

If train S waits to leave until train T has reached the halfway point, then they meet closer to B. If train S leaves only shortly after train T and travels much faster, then train S could pass the midway point of the track before train T does.

If train S leaves later than T, but finishes at the same time, then T is traveling faster than S.
So, when they meet, the distance between the meeting point and B should be smaller than the distance between the meeting point and A. So, statement 2 is SUFF

If train S leaves later than T, but finishes at the same time, then T is traveling faster than S. So, when they meet, the distance between the meeting point and B should be smaller than the distance between the meeting point and A. So, statement 2 is SUFF

IF If train S leaves later than T, but finishes at the same time, then S is traveling faster than T and not vice versa..Can you pls. explain in little detail that how is it (B) ..and what is the OA ?

If train S leaves later than T, but finishes at the same time, then T is traveling faster than S. So, when they meet, the distance between the meeting point and B should be smaller than the distance between the meeting point and A. So, statement 2 is SUFF

Anand, What if the difference in rates is negligible and the difference in time is huge???

Without actual numbers, its hard to decide on the meeting point. It can fall in either of the halves, depending on the difference in rates and difference in time.

two extreme examples
d=100
trains S =10, then T=10h
Train T :y=100 then T=1h

they meet closer to B
or
d=120
x=10, then T=12h
y=10,1 then T=11,88h

they meet closer to B
since right after T=6h
S is closer to B
and
T has not crossed the mid distance yet since it left 0,12h late... and it will cross the mid point at 0.12h+ 11,88/2=5,94+,12=6,16h
hope it helps
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