Quote:
Originally Posted by nairpraveenk Fundoo problem
------------------- Train A leaves New York for Boston at 3 PM and travels at the constant speed of 100 mph. An hour later, it passes Train B, which is making the trip from Boston to New York at a constant speed. If Train B left Boston at 3:50 PM and if the combined travel time of the two trains is 2 hours, what time did Train B arrive in New York? (1) Train B arrived in New York before Train A arrived in Boston.
(2) The distance between New York and Boston is greater than 140 miles.
(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. |
First of all...thanx to prav for a real DS problem...gud!! I wud suggest all of you to try this...this is the toughie level!!
Soln:
without looking at the statements try to solve the problem....
by simple speed distance time equations...you would get a quadratic equation...
Solving you wud get d = 150 miles or 133.33 miles.
that is two probable answers....for these two values you will get two times....
when d =150, Train A 4:30 and train B 4:20
or you could have
when d=133.33 miles, train A 4:20 and train B 4:30....since it is a quadratic expression...
now this is where DS comes in...till here it was a PS.
from statement 1...you could pick one answer....150 miles...and
time Train B arrive in New York is 4:20
from statement 2....simply trainB arrives at 4:20
So answer is D....either suffices.
cheers!!
wot say pravs??