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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 154 · 40 questions
TalentJR

The method (Length and relative speed): Change km/h to m/s (× 5/18) when lengths are in metres and time in seconds. Pole: time = train length ÷ speed. Platform: (train + platform) ÷ speed. Towards each other: add the speeds; same direction: take them away. Cover both lengths. Downstream = boat + stream; upstream = boat − stream. Boat = (down + up) ÷ 2; stream = (down − up) ÷ 2.

NameDateTime takenScore ___ / 40
  1. 1.A boat goes 40 km downstream in 4 hours and 8 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  2. 2.A train running at 72 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  3. 3.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  4. 4.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  5. 5.Two trains, 50 m and 70 m long, run towards each other on side-by-side tracks at 36 km/h and 36 km/h. How many seconds do they take to cross each other?
  6. 6.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  7. 7.A boat goes 75 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  8. 8.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  9. 9.A train running at 72 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  10. 10.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  11. 11.Two trains, 150 m and 60 m long, run towards each other on side-by-side tracks at 54 km/h and 72 km/h. How many seconds do they take to cross each other?
  12. 12.A train running at 72 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  13. 13.Two trains, 110 m and 100 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  14. 14.A boat goes 60 km downstream in 5 hours and 40 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  15. 15.A boat goes at 15 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 63 km upstream and come back?
  16. 16.A train running at 90 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  17. 17.A boat goes 30 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  18. 18.A boat goes at 13 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 25 km upstream and come back?
  19. 19.A train 280 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  20. 20.A train running at 54 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  21. 21.A train running at 90 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  22. 22.A train 360 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  23. 23.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  24. 24.A boat goes at 13 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 100 km upstream and come back?
  25. 25.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  26. 26.A train running at 72 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  27. 27.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 345 m long?
  28. 28.A boat goes at 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 81 km upstream and come back?
  29. 29.A train running at 72 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  30. 30.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  31. 31.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  32. 32.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  33. 33.A train running at 90 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  34. 34.Two trains, 160 m and 50 m long, run towards each other on side-by-side tracks at 90 km/h and 36 km/h. How many seconds do they take to cross each other?
  35. 35.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  36. 36.A boat goes 96 km downstream in 4 hours and 64 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  37. 37.A boat goes at 9 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 16 km upstream and come back?
  38. 38.A train running at 36 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  39. 39.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  40. 40.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?

Answer key

  1. 4
  2. 580
  3. 38
  4. 24
  5. 6
  6. 37
  7. 20
  8. 17
  9. 140
  10. 27
  11. 6
  12. 240
  13. 6
  14. 10
  15. 10
  16. 425
  17. 1
  18. 26
  19. 28
  20. 375
  21. 525
  22. 18
  23. 38
  24. 104
  25. 24
  26. 100
  27. 37
  28. 90
  29. 420
  30. 17
  31. 80
  32. 25
  33. 325
  34. 6
  35. 70
  36. 4
  37. 9
  38. 180
  39. 38
  40. 13

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