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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 539 · 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 8 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 63 km upstream and come back?
  2. 2.A train running at 72 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  3. 3.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  4. 4.A train 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  5. 5.A boat goes at 20 km/h in still water. The river flows at 19 km/h. How many hours does the boat take to go 39 km upstream and come back?
  6. 6.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?
  7. 7.A train running at 54 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  8. 8.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  9. 9.A boat goes 60 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  10. 10.A boat goes at 8 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 30 km upstream and come back?
  11. 11.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 62 km upstream and come back?
  12. 12.Two trains, 70 m and 140 m long, run towards each other on side-by-side tracks at 36 km/h and 72 km/h. How many seconds do they take to cross each other?
  13. 13.A train 75 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  14. 14.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  15. 15.A boat goes 95 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  16. 16.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  18. 18.A boat goes at 9 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 80 km upstream and come back?
  19. 19.A train running at 36 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  20. 20.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  21. 21.A train 260 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  22. 22.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  23. 23.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  24. 24.A boat goes 69 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)?
  25. 25.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  26. 26.A boat goes at 13 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 69 km upstream and come back?
  27. 27.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  28. 28.Two trains, 60 m and 150 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?
  29. 29.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  30. 30.Two trains, 100 m and 110 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?
  31. 31.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)?
  32. 32.Two trains, 60 m and 115 m long, run towards each other on side-by-side tracks at 54 km/h and 36 km/h. How many seconds do they take to cross each other?
  33. 33.A boat goes 92 km downstream in 4 hours and 68 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  34. 34.A boat goes at 19 km/h in still water. The river flows at 17 km/h. How many hours does the boat take to go 72 km upstream and come back?
  35. 35.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 420 m long?
  36. 36.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  37. 37.A boat goes 100 km downstream in 5 hours and 80 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  38. 38.A boat goes at 8 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 108 km upstream and come back?
  39. 39.Two trains, 140 m and 100 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?
  40. 40.A train running at 90 km/h passes a pole in 7 seconds. How long is the train (in metres)?

Answer key

  1. 16
  2. 180
  3. 20
  4. 21
  5. 40
  6. 13
  7. 360
  8. 100
  9. 16
  10. 32
  11. 64
  12. 7
  13. 5
  14. 29
  15. 15
  16. 11
  17. 31
  18. 18
  19. 270
  20. 7
  21. 26
  22. 34
  23. 17
  24. 19
  25. 20
  26. 26
  27. 10
  28. 7
  29. 29
  30. 7
  31. 8
  32. 7
  33. 20
  34. 38
  35. 36
  36. 35
  37. 18
  38. 36
  39. 6
  40. 175

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