Two trains of equal length 120 metres move in the same direction. The faster train completely
overtakes the slower one in 15 seconds. If the slower train were to move at half its speed, the over
taking would take in 10 seconds. At what speeds are the 2 trains moving (faster and slower respectively
in m/s)
Choose the correct choice from the following:
A) 24 , 22
B) 32 , 16
C) 30 , 18
D) 28 , 14
E) none of these

Rationale: the total distance covered for over taking = length of the two trains = 120 + 120 = 240 speed of faster train be x m / s and slower train be y m / s in the first case relative speed = x - y relative speed = distance / time taken = x - y = 240 / 15 = 16 m / s … … … ( 1 ) in the second case , the slower train moves at half its speed relative speed = x - 0.5 y = 240 / 10 = 24 m / s … … … … … … … . . ( 2 ) solving equation 1 & 2 we get x = 32 and y = 16 . : . the speed of the faster and slower trains are 32 m / s and 16 m / s respectively answer : b
Answer: B