Aptitude - Problems on Trains - Discussion

Discussion Forum : Problems on Trains - General Questions (Q.No. 4)
4.
Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:
1 : 3
3 : 2
3 : 4
None of these
Answer: Option
Explanation:

Let the speeds of the two trains be x m/sec and y m/sec respectively.

Then, length of the first train = 27x metres,

and length of the second train = 17y metres.

27x + 17y = 23
x+ y

27x + 17y = 23x + 23y

4x = 6y

x = 3 .
y 2

Discussion:
238 comments Page 21 of 24.

Pankj said:   8 years ago
One doubt.

According to this answer train taking 27 sec to cross the man having more speed than train taking 17 sec. As per my knowledge train taking more time having less speed anyone can explain this ?

Sujay said:   8 years ago
---23------>----4-----|27
23<--6sec---|<---17sec----- Man

Train which takes 27 sec to cross a man takes 4 more seconds to cross man(27-23)
Train which takes 17 sec to cross a man takes 6 more seconds to cross train(23-17)
Let distance between crossover of train and man standing to be X
Speed ratio=x/4:x/6.
i,e 3:2.

Pobitro Ghosh said:   8 years ago
Relative time 1st train= 27-23=4,
second train= 23-17=6,
1st:2nd= 6:4=3:2,
Ans:3:2.

Mayank Yadav said:   8 years ago
(x+y) I am not understanding that where this comes here this question, please give answer.

Sudhan Vybow said:   8 years ago
Make it simple.

27-17 =6 :27-23 =4
6:4 or 3:2.

Vishnu said:   8 years ago
@Sudhan.

Isn't 27-17 = 10? How do you say it's 6?

Priyesh verma said:   8 years ago
Two trains are moving in opposite direction with the speed of 36 k.m. /h and 54 k.m. /h cross each other in 12 seconds. The length of the 2nd train is half of the 1st train. The 1st train crosses a platform in 1. 30 minutes. Then what is the length of the platform? Please solve this.

Mahesh said:   8 years ago
860m, It consists of two cases.

DilipReddy said:   8 years ago
Very clear explanations. Thanks.

Naveen said:   8 years ago
Speed=(distance/time).

It rewritten as (distance/speed)=time.
Same case:
(relative distance/relative speed)=time
We understand the only thing how to calculate relative speed and relative distance,
Consider car A travel at x km/hr and car B travels at y km/hr
Both A and B travel in same direction means
Their relative speed=subtraction of two speed (x+y)km/hr.
Relative distance= (speed1*time1)-(s2+t2).
=27x-17y.

Here 27 and 17 are time1 and time2.
X and y are speed1 and speed2.

Case2:
CarA and carB travels opposite direction.
Relative speed= x+y(addition of speeds)
Relative distance=(speed1*time1)+(s2*t2)
So we get. = 27x+17y.
Finally (relative distance/relative speed)=time,
Therefore (27x+17y)/(x+y)=23,

Maybe my solutions help for you


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