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Problems on Trains- Aptitude Questions and Answers - in Hindi

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A 500 ft long train crosses a platform 700 feet in 10 seconds. So what is the speed of that train?


500 फीट लंबी एक रेलगाड़ी 700 फीट लंबे एक प्लेटफार्म को 10 सेकंड में पार कर लेती है। तो उस रेलगाड़ी की गति कितनी है?

A)
70 ft/s

B)
85 ft/s

C)
100 ft/s

D)
120 ft/s


Correct Answer :

120 ft/s


Explanation :

Speed of the train = Length of (train+platform)/Time = 500+700 / 10 = 120 ft/ sec

A passenger train departs from Delhi at 6 p.m. for Mumbai. At 9 p.m. an express train, whose average speed exceeds that of the passenger train by 15 km / hour leaves Mumbai for Delhi. Two trains meet each other mid-route. At what time do they meet, given that the distance between the cities is 1080 km?


एक पैसेंजर ट्रेन शाम 6:00 PM बजे दिल्ली से मुंबई के लिए रवाना होती है। एक एक्सप्रेस ट्रेन, जिसकी औसत गति यात्री ट्रेन से 15 किमी / घंटे अधिक है, रात 9:00 PM बजे पर मुंबई से दिल्ली के लिए रवाना होती है। दो ट्रेनें एक दूसरे के मध्य मार्ग से मिलती हैं। वे किस समय मिलेंगी, यदि दोनों शहरों के बीच की दूरी 1080 किमी है?

A)

4 p.m.


B)

2 a.m.


C)

12 mid-night


D)

6 a.m.



Correct Answer :

6 a.m.


Explanation :

Let the speed of passenger train= x km/hr
Speed of express train = (x + 15) km/hr
Then, As is given

6pm#-----540-----#-----540-----#9pm

(540 / x) - (540 / x + 15) = 3 [6 pm - 9 pm ]
540( 1/x - 1/x + 15) = 3
540( x + 15 - x / x*(x + 15) ) = 3
540*15 = 3x*(x + 15)
x2 + 15X - 2700 = 0
(x + 60)(x - 45) = 0
x = 45 [∵ x ≠ 60]

Time taken by passenger train to reach the meeting point = 540/x = 540/45 = 12 Hrs

Therefore, Both train will meet at (6 pm + 12 Hrs) = 6 a.m.

A 225 m long train is running at a speed of 30 km / hour. How much time does it take to cross a man running at 3 km / hour in the same direction?


225 मीटर लंबी एक ट्रेन 30 किमी / घंटे की गति से चल रही है। वह उसी दिशा में 3 किमी / घंटा की रफ्तार से दौड़ने वाले व्यक्ति को पार करने में कितना समय लेगी?

A)

40 seconds


B)

30 seconds


C)

25 seconds


D)

15 seconds



Correct Answer :

30 seconds


Explanation :

Relative Speed, in the same direction= Speed of train - Speed of man
=(30 - 3) km/h
=(27*1000/3600) m/s
=(27*5/18)
=15/2 m/s

Time taken to cross the man = Distance/ Relative Speed
= 225 / (15/2)
= 225*2 / 15
= 30 sec

The distance between two cities (M and N) is 569 km. A train starts from city M at 8 am and travel towards city N @ 53 km per hour. Another train starts from city N at 9 am and travel towards city M @ 76 km per hour. At what time will the trains meet?


दो शहरों M और N के बीच की दूरी 569 किमी है। एक ट्रेन, शहर M से सुबह 8 बजे शुरू होती है और शहर N की ओर 53 किमी प्रति घंटे की दर से यात्रा करती है। एक अन्य ट्रेन सुबह 9 बजे शहर N से शुरू होती है और शहर M की ओर 76 किमी प्रति घंटे की यात्रा करती है। किस समय पर दोनो ट्रेनें एक दुसरे पर मिलेंगी ?

A)

12:30 pm


B)

1:00 pm


C)

2:30 pm


D)

1:00 pm



Correct Answer :

1:00 pm


Explanation :

Total distance between M and N= 569 km

First train leaves station at 8:00 am and second at 9:00 am. So first train i.e.,
from M to N has covered 53 km distance in 1 hour.

So, distance left between the stations = 569 − 53 = 516 km

trains are travelling in opposite directions. So, relative speed of trains = 53 + 76 = 129 km/h

Now, Time taken to cover 519 km = 519/129= 4 hours

Hence the time, at which both the trains will meet, is 4 hour after second train left i.e., 9:00 am + 4 h = 1:00 pm

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