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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 546 · 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 at 16 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 93 km upstream and come back?
  2. 2.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  3. 3.Two trains, 150 m and 210 m long, run towards each other on side-by-side tracks at 72 km/h and 36 km/h. How many seconds do they take to cross each other?
  4. 4.A boat goes 34 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  5. 5.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 280 m long?
  6. 6.A train 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  7. 7.A boat goes at 8 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 70 km upstream and come back?
  8. 8.A train running at 54 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  9. 9.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  10. 10.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  11. 11.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  12. 12.A boat goes at 16 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 87 km upstream and come back?
  13. 13.A boat goes at 13 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 44 km upstream and come back?
  14. 14.A train running at 72 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  15. 15.A boat goes at 5 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 21 km upstream and come back?
  16. 16.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  17. 17.A train 420 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  19. 19.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  20. 20.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  21. 21.A boat goes 64 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  22. 22.A train 250 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  23. 23.Two trains, 110 m and 130 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?
  24. 24.A boat goes 85 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  25. 25.A train 250 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  26. 26.Two trains, 160 m and 80 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?
  27. 27.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  28. 28.A train running at 72 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  29. 29.A boat goes at 18 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 66 km upstream and come back?
  30. 30.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?
  31. 31.A boat goes 32 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  32. 32.A boat goes 48 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  33. 33.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 600 m long?
  34. 34.A train 450 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  35. 35.A train 320 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  36. 36.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  37. 37.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  38. 38.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  39. 39.A train 600 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  40. 40.A boat goes at 15 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 72 km upstream and come back?

Answer key

  1. 96
  2. 31
  3. 12
  4. 3
  5. 20
  6. 21
  7. 40
  8. 75
  9. 26
  10. 10
  11. 11
  12. 32
  13. 13
  14. 120
  15. 10
  16. 26
  17. 28
  18. 15
  19. 33
  20. 31
  21. 1
  22. 25
  23. 12
  24. 16
  25. 10
  26. 12
  27. 22
  28. 520
  29. 24
  30. 36
  31. 1
  32. 10
  33. 38
  34. 18
  35. 16
  36. 31
  37. 70
  38. 23
  39. 24
  40. 10

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