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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 408 · 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 240 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  2. 2.A boat goes at 8 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 39 km upstream and come back?
  3. 3.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  4. 4.A boat goes 60 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  5. 5.Two trains, 70 m and 150 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 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  7. 7.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  8. 8.A boat goes at 17 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 120 km upstream and come back?
  9. 9.A boat goes 80 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  10. 10.A train 220 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  11. 11.A train running at 90 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  12. 12.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  13. 13.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?
  14. 14.A boat goes 36 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  15. 15.A train 240 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  16. 16.A train 325 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  17. 17.Two trains, 170 m and 145 m long, run towards each other on side-by-side tracks at 90 km/h and 72 km/h. How many seconds do they take to cross each other?
  18. 18.A train 280 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  19. 19.A boat goes 68 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  20. 20.A boat goes 55 km downstream in 5 hours and 15 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  21. 21.A boat goes 56 km downstream in 4 hours and 48 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  22. 22.A boat goes 27 km downstream in 3 hours and 9 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  23. 23.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  24. 24.A train running at 54 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  25. 25.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  26. 26.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 50 km upstream and come back?
  27. 27.A boat goes 39 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  28. 28.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  29. 29.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  31. 31.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  32. 32.A train 405 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  33. 33.Two trains, 130 m and 70 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?
  34. 34.A boat goes at 5 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 96 km upstream and come back?
  35. 35.A boat goes 57 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  36. 36.A boat goes 30 km downstream in 3 hours and 12 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  37. 37.A boat goes 48 km downstream in 3 hours and 42 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  38. 38.A train 520 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  39. 39.A train running at 90 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  40. 40.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 16
  2. 16
  3. 27
  4. 8
  5. 11
  6. 15
  7. 44
  8. 34
  9. 2
  10. 11
  11. 150
  12. 32
  13. 32
  14. 17
  15. 12
  16. 13
  17. 7
  18. 14
  19. 4
  20. 4
  21. 13
  22. 3
  23. 15
  24. 135
  25. 15
  26. 52
  27. 1
  28. 27
  29. 22
  30. 22
  31. 35
  32. 27
  33. 8
  34. 40
  35. 2
  36. 7
  37. 1
  38. 26
  39. 700
  40. 12

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