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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 624 · 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 5 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 21 km upstream and come back?
  2. 2.Two trains, 170 m and 75 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?
  3. 3.A train 525 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  4. 4.A boat goes at 14 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 27 km upstream and come back?
  5. 5.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 280 m long?
  6. 6.A train running at 54 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  7. 7.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  8. 8.A train running at 54 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  9. 9.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 345 m long?
  10. 10.A boat goes 48 km downstream in 3 hours and 42 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  11. 11.A train 240 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  12. 12.A boat goes at 8 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 28 km upstream and come back?
  13. 13.A train running at 54 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  14. 14.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  15. 15.Two trains, 190 m and 80 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?
  16. 16.Two trains, 140 m and 160 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?
  17. 17.A boat goes 51 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  18. 18.A boat goes 30 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  19. 19.A train 560 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  20. 20.A boat goes 50 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  21. 21.A train running at 36 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  22. 22.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  23. 23.A boat goes 24 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  24. 24.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 63 km upstream and come back?
  25. 25.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  26. 26.Two trains, 110 m and 310 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?
  27. 27.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 225 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  29. 29.A boat goes 50 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  30. 30.A train 650 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  31. 31.A boat goes 33 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  32. 32.A train 750 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  33. 33.A train running at 54 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  34. 34.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  35. 35.A boat goes at 11 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 21 km upstream and come back?
  36. 36.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?
  37. 37.A boat goes 33 km downstream in 3 hours and 3 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  38. 38.A boat goes 33 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  39. 39.Two trains, 190 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?
  40. 40.A train running at 72 km/h passes a pole in 10 seconds. How long is the train (in metres)?

Answer key

  1. 10
  2. 7
  3. 21
  4. 28
  5. 19
  6. 90
  7. 27
  8. 420
  9. 40
  10. 15
  11. 12
  12. 16
  13. 315
  14. 15
  15. 6
  16. 10
  17. 2
  18. 1
  19. 28
  20. 2
  21. 200
  22. 80
  23. 7
  24. 30
  25. 24
  26. 12
  27. 7
  28. 15
  29. 5
  30. 26
  31. 2
  32. 30
  33. 375
  34. 24
  35. 22
  36. 16
  37. 6
  38. 1
  39. 6
  40. 200

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