Aptitude - Problems on Trains - Discussion

Discussion Forum : Problems on Trains - General Questions (Q.No. 1)
1.
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
120 metres
180 metres
324 metres
150 metres
Answer: Option
Explanation:

Speed = 60 x 5 m/sec = 50 m/sec.
18 3

Length of the train = (Speed x Time).

Length of the train = 50 x 9 m = 150 m.
3

Discussion:
587 comments Page 32 of 59.

Dinesh said:   1 decade ago
It has come approximately 150.03 is this correct or exact answer should be 150.

Satyapal khetlan said:   1 decade ago
Given: Train velocity = 60 km/hr;

It's mean that at 1 hr, traveled distance by train, is 60 km;

1 sec. travel distance = 60,000/(3600) m (1 hr = 3600 sec. & 1 km = 1000 m).

So, 9 sec " " = (100/6)*9 m.

= 150 m.

So, 150 m, should be correct answer;

Grace said:   1 decade ago
60000 = 3600.

x = 9.

Cross multiply.

= 3600 x/60000*9.

Answer is 150.

Arvind_ap said:   1 decade ago
1 km = 1000 meters.
1 hr = 3600 seconds.

1 km/hr = 1000/3600 m/s.

= 10/36 m/s.
= 5/18 m/s.

1 km/hr = 5/18 m/sec.

60 km/hr = 60 x 5/18 m/sec.

= (60 x 5)/18.
= 300/18.

So in 1 sec speed is 16.66.

9 sec = 16.66*9 = 150.

Mohammed asif said:   1 decade ago
Similarly 60 km/hr = 60 x 5/18 m/sec.

Kindly explain how this line how 150 meters came?

Bob Matthew said:   1 decade ago
@Mohammed Asif.

60x5/18=50/3. Now since the train crossed the pole in 9 seconds you multiply 50/3x9=150.

Hope this helps.

Peter said:   1 decade ago
Can someone please explain how 60x5/18=50/3?

Simon Newfield said:   1 decade ago
@Peter.

60x5/18 = 50/3 because 60x5/18 = 16.

66666666666667 Now we must convert this to a whole number which is 50. To get 50 you must multiply 16.66666666666667 with 3.

So you write it down as 50/3 because 50/3 equals 16.66666666666667.

Tapan Kumar Majhi said:   1 decade ago
60*5/18*9 = 150.

Darshan thakur said:   1 decade ago
60 km/3600 sec = 0.016667.

0.016667 km/sec*9 sec = 0.15 sec.

0.15 sec*1000 meter = 150 meter.


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