Aptitude - Problems on Trains - Discussion

Discussion Forum : Problems on Trains - General Questions (Q.No. 9)
9.
Two trains are moving in opposite directions @ 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is:
36
45
48
49
Answer: Option
Explanation:

Relative speed = (60+ 90) km/hr

   = 150 x 5 m/sec
18

   = 125 m/sec.
3

Distance covered = (1.10 + 0.9) km = 2 km = 2000 m.

Required time = 2000 x 3 sec = 48 sec.
125

Discussion:
107 comments Page 5 of 11.

Dipti said:   1 decade ago
Relative speed = (60+ 90) km/hr 150 is ok

= 150 x 5/18 m/sec
but how this 5/18 came
could you please discuss on this

Sabarish said:   1 decade ago
@Mohd. Nafees
why you multiply 2000 with 3/125. why it is not multiply by 125/3????

apply this formula in this step:
length of the train= speed*time taken
here speed of the train is (125/3)in m/sec and length of the train is 2000m.
time is required so assumed as x ;
now apply above formula :
2000=(125/3)*time
2000*3=125*time
6000=125*time
finally we get time=(6000/125)=48sec.

have a nice day!

Sabarish said:   1 decade ago
@Dipti
1km=1000m
1hr=60min=3600sec[one min contains 60sec then 60min having 3600sec]

here we want to convert speed(km/hr) into m/sec
so , [(1000/3600)=(5/18)]

have a nice day!

Rajkumar said:   1 decade ago
You all use this formula and do the sum.

The sum which is in opposite direction.

So, formula for time=(L1+L2)/(S1+S2)sec

Amul said:   1 decade ago
Wow super explanation. Im workouting by doing these derivations. All usefull problems with formulas. Thanks.

Sara said:   1 decade ago
Please explain this

(1.10+0.9)/(60+90)*5/18
=48

Prateek said:   1 decade ago
What is the time taken for faster train to cross the slower train?

Harish Raj said:   1 decade ago
@Prateek


The time taken for faster train to cross the slower train is as equal as the time taken for slower train to cross the faster train.

Vaasudevarao said:   1 decade ago
Formula (a+b)/(x+y) =1.10+.90/60+90
=2km/150km/h
=2000m/150*5/18
=2000*3/125
=48 sec

Aarti said:   1 decade ago
Why are you multiplying 150*5/8?


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