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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 385 · 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 54 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  2. 2.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?
  3. 3.Two trains, 150 m and 100 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?
  4. 4.A boat goes at 9 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 120 km upstream and come back?
  5. 5.A train running at 90 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  6. 6.Two trains, 140 m and 310 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?
  7. 7.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 90 km upstream and come back?
  8. 8.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  9. 9.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?
  10. 10.Two trains, 110 m and 240 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?
  11. 11.A boat goes 75 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  12. 12.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  13. 13.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  14. 14.A boat goes 36 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  15. 15.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  16. 16.A boat goes at 12 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 36 km upstream and come back?
  17. 17.Two trains, 110 m and 50 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?
  18. 18.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  19. 19.A train running at 54 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  20. 20.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  21. 21.A boat goes 52 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  22. 22.A boat goes 46 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  23. 23.A boat goes 88 km downstream in 4 hours and 72 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  24. 24.Two trains, 70 m and 130 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?
  25. 25.A train running at 72 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  26. 26.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?
  27. 27.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  28. 28.A boat goes 40 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  29. 29.A train running at 72 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  30. 30.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  31. 31.A boat goes at 11 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 57 km upstream and come back?
  32. 32.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  33. 33.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  34. 34.Two trains, 50 m and 445 m long, run towards each other on side-by-side tracks at 72 km/h and 90 km/h. How many seconds do they take to cross each other?
  35. 35.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)?
  36. 36.A train 500 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  37. 37.A boat goes at 11 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 120 km upstream and come back?
  38. 38.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  39. 39.A train 330 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  40. 40.A train running at 36 km/h passes a pole in 15 seconds. How long is the train (in metres)?

Answer key

  1. 120
  2. 22
  3. 10
  4. 30
  5. 525
  6. 10
  7. 28
  8. 42
  9. 38
  10. 10
  11. 4
  12. 31
  13. 32
  14. 11
  15. 23
  16. 8
  17. 4
  18. 60
  19. 345
  20. 22
  21. 3
  22. 5
  23. 20
  24. 5
  25. 580
  26. 13
  27. 20
  28. 4
  29. 220
  30. 18
  31. 22
  32. 23
  33. 26
  34. 11
  35. 2
  36. 20
  37. 66
  38. 11
  39. 22
  40. 150

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