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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 988 · 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 90 km downstream in 5 hours and 80 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  2. 2.A boat goes at 14 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 72 km upstream and come back?
  3. 3.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  4. 4.A boat goes at 14 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 75 km upstream and come back?
  5. 5.Two trains, 210 m and 210 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?
  6. 6.A train 330 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  7. 7.A train 375 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  8. 8.A train running at 72 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  9. 9.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  10. 10.A train 190 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  11. 11.A boat goes 72 km downstream in 4 hours and 48 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  12. 12.A boat goes at 6 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 99 km upstream and come back?
  13. 13.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 105 km upstream and come back?
  14. 14.A train running at 72 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  15. 15.Two trains, 230 m and 130 m long, run towards each other on side-by-side tracks at 54 km/h and 54 km/h. How many seconds do they take to cross each other?
  16. 16.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?
  17. 17.A train 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  18. 18.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  19. 19.A boat goes 40 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)?
  20. 20.A train running at 72 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  21. 21.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?
  22. 22.A boat goes at 11 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 105 km upstream and come back?
  23. 23.A train running at 54 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  24. 24.A boat goes 95 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 380 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  26. 26.A boat goes at 15 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 24 km upstream and come back?
  27. 27.A boat goes at 14 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 48 km upstream and come back?
  28. 28.A boat goes 21 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  29. 29.A boat goes at 9 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 77 km upstream and come back?
  30. 30.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  31. 31.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  32. 32.A boat goes 20 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  33. 33.A boat goes 36 km downstream in 3 hours and 12 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  34. 34.A boat goes 57 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  35. 35.A boat goes 55 km downstream in 5 hours and 5 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  36. 36.A boat goes 18 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  37. 37.A train running at 72 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  38. 38.A train running at 54 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  39. 39.A boat goes 51 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  40. 40.A boat goes 48 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 1
  2. 21
  3. 42
  4. 28
  5. 12
  6. 22
  7. 15
  8. 460
  9. 20
  10. 19
  11. 3
  12. 44
  13. 50
  14. 420
  15. 12
  16. 39
  17. 24
  18. 20
  19. 9
  20. 400
  21. 30
  22. 22
  23. 120
  24. 17
  25. 19
  26. 5
  27. 7
  28. 1
  29. 18
  30. 28
  31. 5
  32. 2
  33. 4
  34. 14
  35. 6
  36. 8
  37. 180
  38. 240
  39. 5
  40. 4

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