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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 906 · 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 6 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 63 km upstream and come back?
  2. 2.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 400 m long?
  3. 3.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  4. 4.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  5. 5.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  6. 6.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 400 m long?
  7. 7.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  8. 8.Two trains, 90 m and 50 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  9. 9.A boat goes 33 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)?
  10. 10.Two trains, 70 m and 140 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  11. 11.Two trains, 200 m and 200 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?
  12. 12.A boat goes at 18 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 66 km upstream and come back?
  13. 13.A boat goes at 15 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 60 km upstream and come back?
  14. 14.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  15. 15.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  16. 16.A boat goes 80 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  17. 17.Two trains, 150 m and 210 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?
  18. 18.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  19. 19.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 33 km upstream and come back?
  20. 20.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  21. 21.A train running at 72 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  22. 22.A boat goes 20 km downstream in 2 hours and 4 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  23. 23.A boat goes 80 km downstream in 4 hours and 72 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  24. 24.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  25. 25.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  26. 26.A boat goes at 9 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 56 km upstream and come back?
  27. 27.Two trains, 210 m and 60 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?
  28. 28.A boat goes 60 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  29. 29.A train running at 54 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  30. 30.Two trains, 130 m and 120 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?
  31. 31.A train running at 90 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  32. 32.A boat goes at 6 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 120 km upstream and come back?
  33. 33.A train 280 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  34. 34.A train running at 36 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  35. 35.A train running at 54 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  36. 36.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  37. 37.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  38. 38.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?
  39. 39.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 120 km upstream and come back?
  40. 40.A boat goes 24 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 28
  2. 26
  3. 18
  4. 19
  5. 31
  6. 30
  7. 15
  8. 4
  9. 10
  10. 6
  11. 10
  12. 24
  13. 9
  14. 25
  15. 41
  16. 3
  17. 9
  18. 26
  19. 36
  20. 37
  21. 140
  22. 4
  23. 1
  24. 17
  25. 29
  26. 18
  27. 6
  28. 9
  29. 330
  30. 10
  31. 300
  32. 72
  33. 14
  34. 180
  35. 255
  36. 18
  37. 21
  38. 14
  39. 35
  40. 2

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