Symbiosis National Aptitude Test SNAP 2012 Paper

Question : 16 of 150

Marks: +1, -0

Train A running at 60 km/h leaves Mumbai for Delhi at 6 p.m.
Train B running at 90 km/h also leaves for Delhi at 9 p.m.
Train C leaves Delhi for Mumbai at 9 p.m. If all the three trains meet at the same time between Mumbai and Delhi, then what is the speed of train C, if distance between Delhi and Mumbai is 1260 km ?

60 km/h
90 km/h
120 km/h
135 km/h

Validate

Solution:

Let the speed of train C be x km/h.
At 9 p.m. the train A will have covered a distance of 180 km.
For trains A and B relative speed = (90 – 60) = 30 km/h
Distance between them = 180 km
Time after which they meet =

{180}/{30}

= 6 hrs

For trains A and C relative speeds = (60 + x) km/h
Distance between them = 1080 km.
Time after which they meet =

{1080}/(60+x)

hrs
As the time of meeting of all the three trains is the same, we have

{1080}/(60+x)

= 6
or x = 120 km/h

Go to Question:

Prev Question

Next Question