Two trains move from station A and B towards each other at the speed of 50 km/hr and 60
km/hr. at the meeting point, the driver of the second train felt that the train has covered 120
km more. What is the distance between A and B
(a) 1,320 km (b) 1,200 km (c) 1,100 km (d) 960 km (e) None of these
Answers
Answer:
A
Step-by-step explanation:
Since 120km more has been covered by driver 2 at the meeting point -
To find relative velocity we can subtract and find the difference in velocities (60-50) = 10km/hr
Then using this velocity we can find time by dividing the extra distance (120km) by this relative velocity.
We then get 120/10 = 12s
Multiplying this by each train's velocity and adding them together (60 x 12 + 50 x 12 ) = (720+600)
= 1320km between A and B
Hope this helps you.
Answer:
Step-by-step explanation:
Let the two trains meet after t hours.
Speed = Distance / Time => Distance = Speed * Time.
For Train 1,
Distance covered in t hours = 60t
For Train 2,
Distance covered in t hours = 50t
Given, Distance travelled by First train - Distance travelled by second train = 120
=> 60t - 50t = 120
=> 10t = 120
=> t = 12 hrs.
Thus the trains meet after 12 hrs.
Now distance between two stations = Distance travelled by Train 1 +
Distance travelled by Train 2
= 60*12 + 50*12
= 720 + 600
= 1320 km.