151. Train A crosses an electric pole in 25 seconds running at 20 m/sec. find the time taken by train B to cross a bridge of length 300 m, if speed of train B is 25% more than A and length is 20% less than train A?

ट्रेन A, 20 मीटर /सेकंड से दौड़ते हुए एक विद्युतीय खंभे को 25 सेकंड में पार करती है। ट्रेन B के द्वारा 300 मीटर लंबाई के एक पुल को पार करने में लिए गए समय को ज्ञात कीजिए, यदि ट्रेन B की गति, A से 25% अधिक है और लंबाई ट्रेन A की तुलना में 20% कम है?

A. 32 seconds
B. 30 seconds
C. 28 seconds
D. 40 seconds
E. None of these

Option “C” is correct.

Length of train A = 20 x 25 = 500 m

Length of train B = 0.8 x 500 = 400 m

Speed of train B = 1.25 x 20 = 25 m/s

Time taken by train B = (300 + 400)/ 25 = 28 seconds
152. Train A crosses a pole in 16.5 seconds and also crosses a bridge in 18 seconds. If the length of the bridge is 50 m, then find the length of train A.

ट्रेन A एक खम्भे को 16.5 सेकंड में पार करती है और एक पुल को 18 सेकंड में पार करती है। यदि पुल की लंबाई 50 मीटर है, तो ट्रेन A की लंबाई ज्ञात कीजिए।

A. 450 m
B. 500 m
C. 600 m
D. 550 m
E. 400 m

Option “D” is correct.

Length of train A = x

Speed of train A = y

x = y * 5/18 * 16.5

x + 50 = y * (5/18) * 18

x + 50 = 5y

x = (x + 50)/18 * 16.5

18x = 16.5x + 825

x = 550 m
153. Time taken by a train to cross a platform of length 200 m is 20 seconds and the time taken by the train to cross a bridge of twice the train’s length is 36 seconds. Find the length of the train?

एक ट्रेन द्वारा 200 मीटर लंबे प्लेटफॉर्म को पार करने में 20 सेकंड का समय लगता है और ट्रेन द्वारा ट्रेन की लंबाई के दोगुने पुल को पार करने में लिया गया समय 36 सेकंड है। ट्रेन की लंबाई ज्ञात कीजिए?

A. 280 m
B. 360 m
C. 300 m
D. 240 m
E. None of these

Option “C” is correct.

Let the length of the train be x m

Length of the bridge = 2x m

(x + 200)/20 = (x + 2x)/36

(x + 200)/5 = 3x/9

(x + 200)/5 = x/3

3x + 600 = 5x

2x = 600

x = 300 m
154. The train running at the speed of 72 km/hr crosses a bridge in 24 sec. Both the train and bridge having equal length. Find the time taken by the train to cross an electronic pole?

72 किमी / घंटा की गति से चलने वाली ट्रेन 24 सेकंड में एक पुल को पार करती है। ट्रेन और पुल दोनों की लंबाई समान है। विद्युतीय खंभे को पार करने के लिए ट्रेन द्वारा लिया गया समय ज्ञात कीजिये?

A. 12 sec
B. 8 sec
C. 10 sec
D. 14 sec
E. None of these

Option “A” is correct.

Let the length of train and bridge be x,

Given,

[(x + x) / (72 * (5/18))]  = 24

[(2x * 18) / (72 * 5)] = 24

x = 240

The length of train = 240 m

The time taken by the train to cross an electronic pole

= > [240 / (72 * (5/18))]

= > 12 sec
155. The respective ratio of length of two trains A and B is 5:7 and length of train B is 168 m. If train B can cross a platform of length 93 m in 9 seconds, then find the time taken by train A to cover a bridge of length which is 66.66% of platform length of B and speed of train B is 45% more than train A?

A और B दो ट्रेनों की लंबाई का क्रमिक अनुपात 5 : 7 है और ट्रेन B की लंबाई 168 मीटर है। यदि ट्रेन B 9 सेकंड में 93 मीटर की लंबाई के प्लेटफॉर्म को पार कर सकती है, तो ट्रेन A द्वारा पुल के लम्बाई जो कि प्लेटफॉर्म B की लंबाई का 66.66% है, को तय करने के लिए ट्रेन A द्वारा लिया गया समय ज्ञात करें, और ट्रेन B की गति ट्रेन A से 45% अधिक है ?

A. 9.9 seconds
B. 10.1 seconds
C. 9.1 seconds
D. 10.9 seconds
E. None of these

Option “C” is correct.

Length of train A = 5/7 x 168 = 120 m

Speed of train B = (168 + 93)/9 = 29 m/s

Speed of train A = 100/145 x 29 = 20m/s

Time taken by Train A to cross Bridge = (120 + 2/3 x 93) / 20 = 9.1 seconds
156. The ratio of the time taken by the Train to cross an electric pole and time taken by the Train to cross a bridge whose length is 200 m more than the length of the train is 2:3. Find the length of the bridge, if the speed of the train is 25 m/s.

ट्रेन द्वारा एक बिजली के खंभे को पार करने में लिए गए समय और ट्रेन द्वारा एक पुल, जिसकी लंबाई ट्रेन की लंबाई से 200 मीटर अधिक है, को पार करने में लिए गए समय का अनुपात 2:3 है। पुल की लंबाई ज्ञात कीजिए, यदि ट्रेन की गति 25 मीटर/सेकेंड है।

A. 400 m
B. 600 m
C. 300 m
D. 700 m
E. None of these

Option “B” is correct.

Length of the train = x m

Length of the bridge = (x + 200) m

(x/25)/((x + 200)/25) = 2/3

x/(x + 200) = 2/3

3x – 2x = 400

X = 400 m

Length of the bridge = 400 + 200 = 600 m
157. A train crosses a pole in 18 seconds and also crosses a 200 m long bridge in 26 seconds. What is the time taken by the train to cross another 250 m long train is running in the opposite direction at the speed of 60 kmph?

एक ट्रेन एक खम्भे को 18 सेकंड में पार करती है और 200 मीटर लंबे पुल को भी 26 सेकंड में पार करती है। 60 किमी प्रति घंटे की गति से विपरीत दिशा में चल रही 250 मीटर लंबी ट्रेन को पार करने में ट्रेन को कितना समय लगता है?

A. 14.4 seconds
B. 15 seconds
C. 16.8 seconds
D. 24 seconds
E. 18 seconds

Option “C” is correct.

Length of a train = x

Speed of a train = y

x = y * 5/18 * 18

x = 5y

x + 200 = y * 5/18 * 26

9x + 1800 = 5y * 13

9x + 1800 = x * 13

x = 450 m

y = 450/5 = 90 kmph

Required time = (450 + 250)/((90 + 60) * 5/18 )

= 16.8 seconds
158. A train crosses a 280m long bridge in 18 seconds and also crosses a pole in 9.6 seconds. What is the time taken by a train crossing a man is running in the opposite direction at the speed of 30 kmph?

एक ट्रेन 18 सेकंड में 280 मीटर लंबे पुल को पार करती है और 9.6 सेकंड में एक खंबे को भी पार करती है। 30 किमी प्रति घंटे की गति से विपरीत दिशा में चल रहे एक व्यक्ति को पार करने में ट्रेन द्वारा लिया गया समय क्या है?

A. 14.4 seconds
B. 15 seconds
C. 18 seconds
D. 24 seconds
E. None of these

Option “E” is correct.

Length of train = x

Speed of train = y

x + 280 = y * 5/18 * 18

x + 280 = 5y

x = y * 5/18 * 9.6

x = 8y/3

8y/3 + 280 = 5y

y = 120 kmph

x = 320 m

Required time = 320/(120 + 30) * 5/18

= 7.68 seconds
159. A train crosses ‘d’ m platform in 8 seconds and the same train crosses ‘3d’ m bridge in 14 seconds. If the speed of the train is 72 km/hr, then find the time taken by the train to cross a man running in the opposite direction at the speed of 5 m/sec.

एक ट्रेन ‘d’ मीटर प्लेटफॉर्म को 8 सेकंड में पार करती है और वही ट्रेन ‘3d’ मीटर पुल को 14 सेकंड में पार करती है। यदि ट्रेन की गति 72 किमी/घंटा है, तो ट्रेन द्वारा 5 मीटर/सेकंड की गति से विपरीत दिशा में चल रहे एक व्यक्ति को पार करने में लगने वाला समय ज्ञात कीजिए।

A. 4 seconds
B. 7 seconds
C. 10 seconds
D. 6 seconds
E. None of these

Option “A” is correct.

The speed of the train = 72 * 5/18 = 20m/sec

Let the length of the train = x

x + d = 20 * 8

x + d = 160 —(1)

x + 3d = 20 * 14

x + 3d = 280 —(2)

From (1) and (2),

160 – d + 3d = 280

2d = 120

d = 60

The length of the train = 160 – 60 = 100 m

Required time = 100/(20 + 5) = 100/25 = 4 seconds
160. The time taken by a train to cross a pole and a bridge is in the ratio of 7:10 and time taken by same train to cross a platform is 26 seconds. Find out ratio between the length of train to the length of the bridge, if the time taken by train to cross 405 m long object is 41 seconds and the length of platform is 2 times the length of bridge.

एक ट्रेन द्वारा एक खंभे और एक पुल को पार करने में लिया गया समय 7:10 के अनुपात में है और समान ट्रेन द्वारा एक प्लेटफॉर्म को पार करने में लिया गया समय 26 सेकंड है। ट्रेन की लंबाई से पुल की लंबाई के बीच का अनुपात ज्ञात कीजिए, यदि ट्रेन द्वारा 405 मीटर लंबी वस्तु को पार करने में लिया गया समय 41 सेकंड है और प्लेटफॉर्म की लंबाई पुल की लंबाई का 2 गुना है।

A. 3:8
B. 3:7
C. 5:7
D. 7: 3
E. None of these

Option “D” is correct.

Let time taken by train to cross a pole and bridge are 7t and 10t second respectively and speed of train is S m/s.

Now, the length of train and bridge are 7ts and 3ts meter respectively.

According to question,

Train + object in 41 seconds

7ts + 405 = 41s ——(i)

Train + platform in 26 seconds

7ts + 6ts = 26s ——–(ii)

13ts = 26s

t=2

By solving eq. (i)

s = 15 m/s

So, length of train = 7ts = 7 x 2 x 15 = 210 m

Length of bridge = 3ts = 3 x 2 x 15 = 90 m

Required Ratio = 210:90 =7:3
Pages: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16

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