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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 343 · 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 train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  2. 2.A train 360 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  4. 4.A boat goes at 20 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 84 km upstream and come back?
  5. 5.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  6. 6.A train running at 72 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  7. 7.Two trains, 50 m and 175 m long, run towards each other on side-by-side tracks at 36 km/h and 54 km/h. How many seconds do they take to cross each other?
  8. 8.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 28 km upstream and come back?
  9. 9.A boat goes 32 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  10. 10.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  11. 11.A boat goes 24 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  12. 12.Two trains, 60 m and 260 m long, run towards each other on side-by-side tracks at 72 km/h and 72 km/h. How many seconds do they take to cross each other?
  13. 13.A boat goes 40 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  14. 14.A train running at 90 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  15. 15.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  16. 16.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  17. 17.A train 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 220 m long?
  18. 18.A boat goes at 13 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 80 km upstream and come back?
  19. 19.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 117 km upstream and come back?
  20. 20.A train 575 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  21. 21.A train 390 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  22. 22.A boat goes at 12 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 45 km upstream and come back?
  23. 23.A train 200 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  24. 24.A train 405 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  25. 25.Two trains, 200 m and 240 m long, run towards each other on side-by-side tracks at 72 km/h and 72 km/h. How many seconds do they take to cross each other?
  26. 26.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  27. 27.A boat goes 28 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  28. 28.A boat goes at 7 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 66 km upstream and come back?
  29. 29.A boat goes 22 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  30. 30.A boat goes 38 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  31. 31.A boat goes at 17 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 104 km upstream and come back?
  32. 32.A train 450 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  33. 33.A boat goes 40 km downstream in 2 hours and 36 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  34. 34.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  35. 35.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  36. 36.Two trains, 90 m and 135 m long, run towards each other on side-by-side tracks at 36 km/h and 54 km/h. How many seconds do they take to cross each other?
  37. 37.A boat goes 27 km downstream in 3 hours and 9 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  38. 38.A train 220 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  39. 39.A train running at 54 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  40. 40.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?

Answer key

  1. 10
  2. 24
  3. 23
  4. 10
  5. 12
  6. 500
  7. 9
  8. 16
  9. 15
  10. 12
  11. 4
  12. 8
  13. 16
  14. 700
  15. 29
  16. 22
  17. 27
  18. 13
  19. 130
  20. 23
  21. 26
  22. 8
  23. 8
  24. 27
  25. 11
  26. 29
  27. 11
  28. 28
  29. 2
  30. 2
  31. 17
  32. 30
  33. 1
  34. 22
  35. 27
  36. 9
  37. 6
  38. 11
  39. 105
  40. 34

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