Bunuel
Trains A and B which were originally 420 miles apart began traveling towards one another on parallel adjacent tracks. How many miles from the point where train A began to travel will the trains meet?
(1) Train A is traveling at a constant speed of 94 miles per hour and train B is traveling at a constant speed of 47 miles per hour.
(2) Train A is traveling at a constant speed that is twice the constant speed of train B.
Two trains A and B separated by a distance of 420 miles, are running towards each other.
Point of meeting from train A is ?
Statement 1: (1) Train A is traveling at a constant speed of 94 miles per hour and train B is traveling at a constant speed of 47 miles per hour.
opposite direction. Hence relative speed = (47+94) = 141 mph.
speed = distance / time.
time = 420/ (141) .
Solving this we get time, using the time calculated we can ascertain the distance travelled by train A at the time of meet.
distance by A = [420/ (141)] * 94 = 280 miles.
Sufficient Statement 2: (2) Train A is traveling at a constant speed that is twice the constant speed of train B.
Ratio of speed A: speed B = 2:1
Relative speed = (2+1) = 3
time of meet = 420/3 = 140
Distance by A = 140* 2 = 280 miles.
Sufficient Hence,
option D