1)

Two goods train each 500 m long, are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one.


A) 12 sec

B) 24 sec

C) 48 sec

D) 60 sec

E) 62 sec

Answer:

Option C

Explanation:

Relative speed $=(45+30)$ km/hr $=\left(75\times\frac{5}{18}\right)$ m/sec $=\left(\frac{125}{6}\right)$ m/sec.

Distance covered $=(500+500)$ m $=1000$ m.

Required time $=\left(1000\times\frac{6}{125}\right)$ sec = 48 sec.