# a train 260 m long running at 72 k m / h , crosses a bridge 240 m long. find the time taken by the train to cross the bridge.

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## A train 150 m long is running at 72 km / hr. It crosses a bridge in 13 sec. Find the length of the bridge.

A train 150 m long is running at 72 km / hr. It crosses a bridge in 13 sec. Find the length of the bridge.

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A train 150 m long is running at 72 km / hr. It crosses a bridge in 13 sec. Find the length of the bridge.

Question A train 150 m long is running at 72

km/hr. It crosses a bridge in

13

sec. Find the length of the bridge.

Open in App Solution Speed of the train = 72 km/hr = 72 × 1000 3600 m/sec = 72 × 5 18 m/sec = 20 m/sec

Time taken to cross the bridge

= 13 sec

Therefore, total distance covered by the train

= 20 × 13 = 260 m

Therefore, length of the bridge

= 260 − 150 = 110 m Suggest Corrections 42

SIMILAR QUESTIONS

**Q.**The time taken by 150 m long train running at a speed of 72 km/hr to pass a bridge is 12.5 s. The length of the bridge is.

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Find the time taken by 150 m long train to pass through a bridge which is 100 m long,running at a speed of 72km/hr.

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## [Solved] A train of length 240 m is running at 60 km/h. In what time

Given: Length of train = 240m Speed of train = 60kmph = 60 × 5/18 = 50/3 m/s Length of the platform = 260 m Concept Used: Time taken to cross a platf

Home Quantitative Aptitude Speed Time and Distance Problem on Trains Train Crossing a Platform

## Question

Download Solution PDF

## A train of length 240 m is running at 60 km/h. In what time (in seconds) will it cross a platform of length 260 m?

20 seconds 50 seconds 60 seconds 30 seconds

## Answer (Detailed Solution Below)

Option 4 : 30 seconds

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## Detailed Solution

Download Solution PDF

Given:

Length of train = 240m

Speed of train = 60kmph = 60 × 5/18 = 50/3 m/s

Length of the platform = 260 m

Concept Used:

Time taken to cross a platform = (length of train + length of the platform)/speed of the train

Calculation:

Time required = (240 + 260)/(50/3) = 500/(50/3)

⇒ Time = 30 seconds

∴ In 30 seconds the train will cross the platform of length 260m.

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## More Problem on Trains Questions

**Q1.**Given below are two statements : Statement I : If two trains of length x km and y km are moving in the same direction at u kmph and v kmph respectively, where u > v, then time taken by faster train to cross the slower train is equal to

(x+yu+v)

hrs. Statement II : If two trains are moving in opposite directions at u kmph and v kmph, Then, their relative speed is equal to (u + v) kmph. In the light of the above statements, choose the correct answer from the options given below :

**Q2.**What is the time taken by a 450 m long train running at 54 km/h to cross a man standing on a platform?

**Q3.**Train K moving with a speed of 30 km/h can cross a pole in 15 seconds while train K can cross train J coming from the opposite side with a speed of 30 km/h in 102/5 seconds. Find the length of train J.(In m)

**Q4.**A train takes 1 hour 20 minutes to travel between two stations, P and Q. If it travels at

56

of its usual speed, how long will it take to travel between P and Q?

**Q5.**Two trains are moving in same direction at 60 km/hr and 45 km/hr. The faster train passes a girl sitting in the slower train in 15 seconds. The length of the faster train is

**Q6.**A train covers two equal distances at the speed of 10 km/h and 20 km/h respectively. Find the average speed of that train to cover the entire distance.

**Q7.**A Train travelling at a uniform speed clears a platform 200 m long in 10 seconds and passes a telegraph post in 5 seconds. The speed of the train is

**Q8.**Train travelling at a speed of 90 km/hr crosses a man standing on a platform in 8 seconds. Find the time taken by the train to cross the platform of length 250 mtrs.

**Q9.**A and B started their journeys from P to Q and Q to P respectively. After crossing each other, A and B completed the remaining part of their journey in 6 hours and 8

16

hours respectively. If the speed of B is 36 km/hr, then the speed of A (in km/hr) is :

**Q10.**A train with a speed of 72 km/hr travelling in the opposite direction crosses an another train which is half of the length runs at a speed of 54 km/hr in 18 seconds and crosses a platform in 1 minute. Find the length of platform.

## More Speed Time and Distance Questions

**Q1.**A boat travel 240 km downstream in 3 hours and the time is taken by the boat to travel the same distance in upstream in 6 hours. Find the speed of stream (in kmph).

**Q2.**Given below are two statements : Statement I : If two trains of length x km and y km are moving in the same direction at u kmph and v kmph respectively, where u > v, then time taken by faster train to cross the slower train is equal to

(x+yu+v)

hrs. Statement II : If two trains are moving in opposite directions at u kmph and v kmph, Then, their relative speed is equal to (u + v) kmph. In the light of the above statements, choose the correct answer from the options given below :

**Q3.**Given below are two statements : Statement I: If a person covers a certain distance at x kmph and an equal distance at y kmph. Then, the average speed during the whole journey is

(x+y2xy)

kmph. Statement II: If the ratio of the speeds of x and y is a:b, then the ratio of the respective time taken by them to cover the same distance is b:a. In the light of the above statements, choose the correct answer from the options given below :

**Q4.**Avra travels from A to B at 74 km/h and returns from B to A through the same route at 111 km/h. What was his average speed during the two-way journey?

**Q5.**A person can row at a speed of 11 km/h in still water. The speed of the stream is

56

m/s. How much time will he take to row a distance of 36 km upstream?

## A train running at a speed of 72 km per hour crossed a 260 meter platform in 23 seconds , Find length of the train?

Answer (1 of 7): 72 km/h = 20 m/s (260 + L) / 23 = 20 m/s 260 + L = 460 m Length of the train L = 200 m

A train running at a speed of 72 km per hour crossed a 260 meter platform in 23 seconds , Find length of the train?

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Sort Samay Goenka

MS in Entrepreneurship, Babson CollegeAuthor has 80 answers and 428K answer views3y

Originally Answered: A train running at a speed of 72 km/hr crossed a 260 meter platform in 23 sec, Find length of the train?

The train crossing the platform means that

At the time the timer is started, the train’s front most part is at the starting of the platform.

At the time the timer is stopped, i.e, 23 seconds later, the train’s rear most part is at the end of the platform.

This means that in 23 seconds, the train has traveled a distance equal to the length of the platform + the length of the train.

72 km/h = 20 m/s. In 23 seconds at this speed, the train travels 20 x 23 = 460 meters.

Length of platform + length if train = 460m.

Length of train = 460 - length of platform = 460–260 = 200m.

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A train crosses a platform of length 250 m in 20 seconds and crosses a pole in 10 seconds. What is the length of train?

A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?

Vasudevan A.N.S.

Former Retired Professor of Chemistry. (1977–2014)Author has 7.7K answers and 8.5M answer views2y

To cross the bridge the distance to be travelled= Length of train + Platform

=( L + 260), where L= length of the train.

Speed of the train= 72- Km= 72 x 5/18 =20- m/ sec.

Distance travelled in 23- seconds= 20 x 23= 460- metres.

So Length of the train= 460- 260

= 200- metres Shashank Shekhar

Worked at Tata Consultancy Services (company) (2019–2021)2y

Related

A goods train runs at the speed of 72 kmph and crosses a 250 m long platform in 26 seconds. What is the length of the goods train?

The train needs to cover a total distance D= length of itself + length of platform

D= L+250

Let L be length of train.

D= Speed * time

converting 72kmph in m/s we get 20m/s

D= 20*26 D= 520m therefore L =270m

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Muthusamy Piramanayagam ( முத்துசாமி பிரமநாயகம்)

30 years of studying physics and MathsAuthor has 7.2K answers and 5.1M answer views3y

Originally Answered: A train running at a speed of 72 km/hr crossed a 260 meter platform in 23 sec, Find length of the train?

72 km/h = 20 m/s

(260 + L) / 23 = 20 m/s

260 + L = 460 m

Length of the train L = 200 m

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Former Technical Consultant (retired) at Bosch Rexroth (1988–2011)Author has 510 answers and 360.8K answer views3y

Related

Id a train with a length of 200 meters passes a man running at 10 km/hr in the same direction in 10 seconds, what is the speed of the train?

200 metres in 10 seconds is 1200 metres a minute or 72 km/hr.Add to that the 10 km/hr the man is running and the train must travel at 82 km/hr.

Hulk

Studied Electrical and Electronics Engineering (Graduated 2019)Author has 342 answers and 213.9K answer views2y

v=(s1+s2)/t 72*5/18=(s1+260)/23 20*23=s1+260 S1+260=460 S1=200m

Length of the train is 200m

Nirmal Singh

Studied at Darrang College, Tezpur3y

The speed of the train is 72Kmps

In 60 Min it covers 72000 Mtrs

in 1 Min it will cover 72000/60= 1200 Mtrs

Or 1200 Mtrs in 60 Sec

260 Mtrs = 60/1200*260= 13 Sec

or In 13 Sec it covers 260 Mtr

In 23 Sec it will cover 260/13*23 = 460 Mtr

460 Mtr is length of Platform + length of train

So length of the train will be 460–260= 200 Mtrs

Answer 200 Mtrs (SOLVED)

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