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- 51. A train overtakes two persons who are walking in the same direction to that of the train at 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. What is the length of the train?

A.62 m

B.54 m

C.50 m

D.55 m

Answer & Explanation

Answer: Option C

Explanation:**Let x is the length of the train in meter and v is its speed in kmph**

x/9 = ( v-2)(10/36) ---(1)

x/10 =( v-4) (10/36) --- (2)

Dividing equation 1 with equation 2

10/9 = (v-2)/(v-4)

=> 10v - 40 = 9v - 18

=> v = 22

Substituting in equation 1, x/9 = 200/36 => x = 9×200/36 = 50 m

x/9 = ( v-2)(10/36) ---(1)

x/10 =( v-4) (10/36) --- (2)

Dividing equation 1 with equation 2

10/9 = (v-2)/(v-4)

=> 10v - 40 = 9v - 18

=> v = 22

Substituting in equation 1, x/9 = 200/36 => x = 9×200/36 = 50 m

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

A.270 m

B.210 m

C.340 m

D.130 m

Answer & Explanation

Answer: Option A

Explanation:**Speed= 72 kmph = 72×10/36 = 20 m/s**

Distance covered = 250+ x where x is the length of the train

Time = 26 s

(250+x)/26 = 20

250+x = 26×20 = 520 m

x = 520-250 = 270 m

Distance covered = 250+ x where x is the length of the train

Time = 26 s

(250+x)/26 = 20

250+x = 26×20 = 520 m

x = 520-250 = 270 m

- 53. A train having a length of 1/4 mile , is traveling at a speed of 75 mph. It enters a tunnel 3 ½ miles long. How long does it take the train to pass through the tunnel from the moment the front enters to the moment the rear emerges?

A.3 min

B.4.2 min

C.3.4 min

D.5.5 min

Answer & Explanation

Answer: Option A

Explanation:**Total distance = 3 ½ + ¼ = 7/2 + ¼ = 15/4 miles**

Speed = 75 mph

Time = distance/speed = (15/4) / 75 hr = 1/20 hr = 60/20 minutes = 3 minutes

Speed = 75 mph

Time = distance/speed = (15/4) / 75 hr = 1/20 hr = 60/20 minutes = 3 minutes

**To whom this Problems on Trains Questions and Answers section is beneficial?**

Students can learn and improve on their skillset for using Verbal Ability effectively and can also prepare for competitive examinations like...

- All I.B.P.S and Public Sector Bank Competitive Exam
- Common Aptitude Test (CAT) Exams
- UPSC Paper-II or CSAT Exams
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- Railway Competitive Exam
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