Aptitude - Problems on Trains - Discussion

Discussion Forum : Problems on Trains - General Questions (Q.No. 2)
2.
A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:
45 km/hr
50 km/hr
54 km/hr
55 km/hr
Answer: Option
Explanation:

Speed of the train relative to man = 125 m/sec
10

   = 25 m/sec.
2

   = 25 x 18 km/hr
2 5

   = 45 km/hr.

Let the speed of the train be x km/hr. Then, relative speed = (x - 5) km/hr.

x - 5 = 45         x = 50 km/hr.

Discussion:
475 comments Page 17 of 48.

Eric said:   1 decade ago
@Shafi.

This method is quite simple and explain the whole concept, thanks for the nice explanation.

Bikramjit said:   1 decade ago
1 km/hr -------------> 5/18 m/sec.

5/18 m/sec ------------> 1 km/hr.

1 m/sec -------------> 1/(5/18)km/hr = 18/5 km/hr.

25/2 m/sec -----------> (18/5)*(25/2) = 45 km/hr.

If train speed x km/hr, then (x-5)km/hr.

x-5 = 45.

x = 45+5.

x = 50 km/hr(answer).

ESWARAN.P said:   1 decade ago
Here using x-5=45. Please explain?

Vaishnapriya said:   1 decade ago
Consider x as the train speed(which is to be determined). We know a relative speed formula in same direction,

(u-v).
Using the given data find out the relative speed i.e 45.

Now,
Relative speed = (train speed-5).

Selvakum said:   1 decade ago
(u-v). Using the given data find out the relative speed i.e. 45.

SURESHBABU KASTURI said:   1 decade ago
If two things are at same speed in same direction.

We subtract that,
So right 125-5=120.

Wrong is 125+5=130.

Srinivas Rao said:   1 decade ago
If both things are in the same direction, then we have to do subtraction right but why we have to do it.

Sankar said:   1 decade ago
Man has traveled 13.8 m in 10 sec.
i.e 5km/hr = 1.38m/s.

1.38*10s=13.8m he has traveled in 10 sec.
So 125m train has passed 13.8m in 10 sec.

So speed of the train is 13.8m/s i.e 49.68km/hr = 50 km/hr.

PRIYANKA SHARMA said:   1 decade ago
Hello friends,

If you want to convert m/s into km/hr then multiply with 18/5.

For example: 5 m/s = 5m/s*18/5 = 18km/hr.

If you want to convert km/hr into m/s then multiply with 5/18.

For example: 108 km/hr = 108km/hr*5/18 = 30m/s.

Satish said:   1 decade ago
What is the need of taking 15/10 and explain how it came?


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