Aptitude - Problems on Trains - Discussion

Discussion Forum : Problems on Trains - General Questions (Q.No. 14)
14.
Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other, is:
9
9.6
10
10.8
Answer: Option
Explanation:

Relative speed = (60 + 40) km/hr = 100 x 5 m/sec = 250 m/sec.
18 9

Distance covered in crossing each other = (140 + 160) m = 300 m.

Required time = 300 x 9 sec = 54 sec = 10.8 sec.
250 5

Discussion:
42 comments Page 5 of 5.

Lokesh said:   10 years ago
How can come 54/5 = 10.8?

Praveen said:   10 years ago
Let time is x sec. According to question:

Speed = Length/Time.

Both are in opposite so we add the speed if in same direction then sub speed.

So speed = 60+40 = 100 km/h.

We convert it in m/s by multiply 5/18.

So speed = 250/9 m/s.

Length = 140 m + 160 m = 300 m.

And time = x sec.

So 250/9 = 300/x.

So x = (300*9)/250.

And time = 10.8 sec.


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