Problems on Trains - Arithmetic Aptitude Questions and Answers

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Arithmetic Aptitude :: Problems on Trains

Problems on Trains - Important Formulas

Problems on Trains - General Questions -1

Problems on Trains - General Questions -2

Problems on Trains - Data Sufficiency 1

Problems on Trains - Data Sufficiency 2

Problems on Trains - Data sufficiency 3

Problems on Trains - [Data Sufficiency 4]

Problems on Trains - Data sufficiency 5 Dummy Testing

What is the speed of the train?

I. The train crosses a signal pole in 18 seconds.

II. The train crosses a platform of equal length in 36 seconds.

III. Length of the train is 330 metres

I and II only

II and III only

I and III only

III and either I or II only

Any two of the three

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Answer : Option D

Explanation :

Let the speed of the train be x metres/sec.

Time taken to cross a signal pole = $\frac { Length of the train} { Speed of the train }$

Time taken to cross a platform = $\frac { (Length of the train + Length of the Platform) } { Speed of the train }$

Length of train = 330 m.

I and III give, 18 = $\frac { 330 } { X }$		x = $\frac { 330 } { 18 }$		m/sec =		$\frac { 55} { 3 }$ m/sec.

II and III give, 36 =		$\frac { 2 \times 330 } { X }$ x =		$\frac { 660 } { 36 }$ m/sec =		$\frac { 55 } { 3 }$ m/sec.

Correct answer is (D)

What is the speed of the train?

I. The train crosses a tree in 13 seconds.

II.The train crosses a platform of length 250 metres in 27 seconds.

III. The train crosses another train running in the same direction in 32 seconds.

I and II only

II and III only

I and III only

Any two of the three

None of these

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Answer : Option A

Explanation :

Let the speed of the train be x metres/sec.

Time taken to cross a tree = $\frac { Length of the train } { Speed of the train }$

Time taken to cross a platform = $\frac { (Length of the train + Length of the Platform) } { Speed of the train }$

I gives, 13 =		$\frac { l } { X }$ 13x.

II gives 27 = $\frac { l+250 } { X }$

		$\frac { 13X +250 } { X }$ = 27

x =		$\frac { 125 } { 7 }$ m/sec.

Thus I and II give the speed of the train.

The correct answer is (A.)

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