Aptitude - Problems on Trains - Discussion

Discussion Forum : Problems on Trains - General Questions (Q.No. 30)
30.
Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?
9 a.m.
10 a.m.
10.30 a.m.
11 a.m.
Answer: Option
Explanation:

Suppose they meet x hours after 7 a.m.

Distance covered by A in x hours = 20x km.

Distance covered by B in (x - 1) hours = 25(x - 1) km.

Therefore 20x + 25(x - 1) = 110

=> 45x = 135

=> x = 3.

So, they meet at 10 a.m.

Discussion:
92 comments Page 2 of 10.

Manisha said:   7 years ago
A train travels in one houe=20 km.

Now at 8 o'clock distance between tow trains = 90 km.
It is relavent to these two trains speed =20+25km/h = 45km/h.
Now time = distance/speed.
= 90/45 = 2h.

Hence trains meet after 2hours that is 8+2 = 10 a.m.
(2)

Chings said:   6 years ago
2 station A and B are 110km apart.
1 train start from A at 7 am towards B at 20 kmph 110-20 = 90.

Next one start from B at 8 a.m towards A at 25kmph.
20+25 =45.

Now 90/45 = 2hrs.
.`. 8+2 = 10 a.m.
(2)

Kaushal Parmar said:   7 months ago
Your values for the distance travelled by each train are mathematically correct based on their speeds and times.

But from 10:00 a.m. onward, your reasoning ignores that the trains would have already met at 10 a.m.

Because their combined distance = 110 km, which is the total distance between A and B.

So, continuing to add distances after the meeting point doesn't make logical sense in the context of this problem.
(1)

Nikhil_vats said:   8 years ago
Platform A ____110km____ Platform B.


Difference between train A and train B is =1hr.
Relative speed of both the trains are = (20kmph+25kmph)= 45kmph.
Now think as if you are the boss (what if you can make both the trains depart at 8 AM how much easy it would have become).
So, the train A is moving at 20km in 1 hour at 7 AM it means it already has completed 20kms by 8 AM from the given distance of 110 km = so (110-20=90 km) left for train A.

And being a boss you now calculate from 8AM for both the trains.
Assume,
If they both depart at 8 AM
Train A now have to go 90 km more
Train B have to go 110 km
So we will calculate
D=S*T ( distance still left = relative speed *time
90=45*time
90/45=2.

2 hours from the time which we shifted like a boss 8 AM so add 2 hours more after 8.
Its 10 AM.
(1)

Anna said:   7 years ago
Thank you very much @Yuvaraj.
(1)

Praveen_Nayak said:   7 years ago
Thank you @Manish Dabhi.
(1)

Mano said:   6 years ago
How we are obtained the 10 ?

Please explain it.
(1)

Gokul Ramakrishnan said:   5 years ago
@Chai.

I got 2.25 is it correct or not?
(1)

Sonic said:   9 years ago
Why it's taken x-1 but not x+1 because train 2 starts 1 hr later?

Raja said:   10 years ago
Here x=3 is answer how to convert into am/pm some other problem.


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