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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 131 · 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 running at 36 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  2. 2.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  3. 3.A train running at 90 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  4. 4.A train running at 36 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  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 train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  7. 7.A boat goes at 15 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 58 km upstream and come back?
  8. 8.A boat goes 20 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  9. 9.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?
  10. 10.A train running at 54 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  11. 11.A boat goes 70 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  12. 12.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?
  13. 13.A boat goes 54 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  14. 14.A boat goes at 7 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 45 km upstream and come back?
  15. 15.A boat goes 60 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  16. 16.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?
  17. 17.Two trains, 60 m and 150 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?
  18. 18.A train 450 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  19. 19.Two trains, 90 m and 60 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?
  20. 20.Two trains, 160 m and 190 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  21. 21.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  22. 22.A train 500 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  23. 23.A boat goes at 17 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 93 km upstream and come back?
  24. 24.Two trains, 50 m and 150 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  25. 25.Two trains, 190 m and 110 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?
  26. 26.A boat goes 80 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  27. 27.Two trains, 240 m and 60 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?
  28. 28.Two trains, 90 m and 270 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?
  29. 29.Two trains, 90 m and 160 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?
  30. 30.A boat goes 60 km downstream in 5 hours and 40 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  31. 31.A boat goes at 16 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 110 km upstream and come back?
  32. 32.Two trains, 110 m and 50 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?
  33. 33.A train running at 36 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  34. 34.Two trains, 50 m and 125 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?
  35. 35.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  36. 36.A train 725 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  37. 37.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  38. 38.Two trains, 200 m and 150 m long, run towards each other on side-by-side tracks at 54 km/h and 72 km/h. How many seconds do they take to cross each other?
  39. 39.A boat goes 51 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  40. 40.Two trains, 170 m and 270 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?

Answer key

  1. 180
  2. 29
  3. 425
  4. 220
  5. 40
  6. 33
  7. 60
  8. 3
  9. 22
  10. 285
  11. 4
  12. 33
  13. 13
  14. 14
  15. 2
  16. 16
  17. 7
  18. 30
  19. 5
  20. 10
  21. 32
  22. 20
  23. 34
  24. 4
  25. 12
  26. 17
  27. 10
  28. 12
  29. 10
  30. 10
  31. 16
  32. 4
  33. 210
  34. 7
  35. 9
  36. 29
  37. 24
  38. 10
  39. 1
  40. 11

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