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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 54 · 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 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  2. 2.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?
  3. 3.A boat goes 44 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  4. 4.Two trains, 80 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?
  5. 5.A boat goes 20 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  6. 6.A train running at 36 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  7. 7.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  8. 8.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?
  9. 9.A boat goes at 7 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 48 km upstream and come back?
  10. 10.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  11. 11.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  12. 12.A boat goes 56 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  13. 13.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  14. 14.A boat goes at 7 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 24 km upstream and come back?
  15. 15.Two trains, 90 m and 160 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?
  16. 16.Two trains, 80 m and 220 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 train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  18. 18.A train running at 72 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  19. 19.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  20. 20.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  21. 21.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  22. 22.A train 360 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  23. 23.Two trains, 90 m and 270 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?
  24. 24.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  25. 25.A boat goes at 6 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 22 km upstream and come back?
  26. 26.Two trains, 70 m and 210 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?
  27. 27.A boat goes 48 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  28. 28.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 96 km upstream and come back?
  29. 29.A boat goes 48 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  30. 30.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)?
  31. 31.Two trains, 100 m and 320 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?
  32. 32.A train running at 90 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  33. 33.A train 285 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  34. 34.A train running at 54 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  35. 35.A train running at 54 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  36. 36.A train running at 90 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  37. 37.A train running at 72 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  38. 38.Two trains, 170 m and 160 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?
  39. 39.A boat goes 65 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  40. 40.Two trains, 180 m and 260 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. 36
  2. 34
  3. 1
  4. 7
  5. 1
  6. 170
  7. 6
  8. 10
  9. 14
  10. 18
  11. 7
  12. 5
  13. 16
  14. 7
  15. 10
  16. 10
  17. 22
  18. 140
  19. 20
  20. 25
  21. 16
  22. 18
  23. 8
  24. 26
  25. 24
  26. 8
  27. 3
  28. 14
  29. 2
  30. 14
  31. 12
  32. 150
  33. 19
  34. 360
  35. 285
  36. 475
  37. 240
  38. 11
  39. 3
  40. 11

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