Aptitude - Problems on Trains - Discussion
Discussion Forum : Problems on Trains - General Questions (Q.No. 5)
5.
A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Answer: Option
Explanation:
| Speed = | ![]() |
54 x | 5 | m/sec = 15 m/sec. |
| 18 |
Length of the train = (15 x 20)m = 300 m.
Let the length of the platform be x metres.
| Then, | x + 300 | = 15 |
| 36 |
x + 300 = 540
x = 240 m.
Discussion:
285 comments Page 5 of 29.
Udaya said:
6 years ago
Shortcut method:-
Train + Platform = 36 sec.
Train = 20sec.
Extra it takes 16 sec to travel platform.
Covert kmph to m/s because we need answer in m/ s.
54kmph*5/18 = 15m/s.
15* 20 = 300m train length.
It takes 20 sec ---> 300m
16sec ---> ?????
Less by more concept 16/20 *300 = 240 m.
Train + Platform = 36 sec.
Train = 20sec.
Extra it takes 16 sec to travel platform.
Covert kmph to m/s because we need answer in m/ s.
54kmph*5/18 = 15m/s.
15* 20 = 300m train length.
It takes 20 sec ---> 300m
16sec ---> ?????
Less by more concept 16/20 *300 = 240 m.
(2)
U. Santhosh said:
1 decade ago
Another easy method to solve this problem without using the variable x. Because if we use variable x for all the problems it will b bit confusing.
Solution is in question they asked about length so the formula is.
Distance = speed * time.
Since in question they had given speed in km/hr and the remaining terms are given in seconds added to that answer too given in meters.
Henceforth, its converted to m/sec.
So for converting it is been multiplied with 5/18.
Speed = 54 * (5/18).
= 15.
Since the train and the man in same direction it should be subtracted according to the rule.
So, time = (36-20).
= 16.
Now apply it in the formula.
Distance = speed * time.
= 15 * 16.
= 240.
Answer is 240.
Solution is in question they asked about length so the formula is.
Distance = speed * time.
Since in question they had given speed in km/hr and the remaining terms are given in seconds added to that answer too given in meters.
Henceforth, its converted to m/sec.
So for converting it is been multiplied with 5/18.
Speed = 54 * (5/18).
= 15.
Since the train and the man in same direction it should be subtracted according to the rule.
So, time = (36-20).
= 16.
Now apply it in the formula.
Distance = speed * time.
= 15 * 16.
= 240.
Answer is 240.
(1)
Jackiep said:
6 years ago
Time taken to pass a station = 36s.
Time taken to pass a man = 20s.
Difference=16s.
We have,
Distance = Speed X Time.
= 15 X 16.
= 240m.
Time taken to pass a man = 20s.
Difference=16s.
We have,
Distance = Speed X Time.
= 15 X 16.
= 240m.
(1)
BOMMIDIGANGABHAVANI said:
2 years ago
Here, the Length of the train = (15 x 20)m = 300 m.
(1)
Saikiran said:
2 decades ago
Length of the train = (15 x 20)m = 300 m.
how u took (15*20).
how u took (15*20).
Sivramakrishna said:
2 decades ago
How you took (15*20)?
Gokul said:
2 decades ago
Guys I got the answer its because.
Distance=Time*Speed.
Distance=Time*Speed.
Sahil said:
2 decades ago
Distance= speed*time
300=15*20
this is length of a train only and we have to find out length of a plateform so we add length of both train and plateform becoz in case of bridge or plateform we can add both the length.
then
x+300/36=15
=240m
300=15*20
this is length of a train only and we have to find out length of a plateform so we add length of both train and plateform becoz in case of bridge or plateform we can add both the length.
then
x+300/36=15
=240m
Sheik said:
2 decades ago
Me also have the same doubt.
Sahil,
Dis= s*t is okay.
Why didn't we take 300=15*36.
Please explain.
Sahil,
Dis= s*t is okay.
Why didn't we take 300=15*36.
Please explain.
Shiva said:
2 decades ago
How is that you have taken (15 x 20) m as train length?
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m/sec = 15 m/sec.