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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 114 · 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 8 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 30 km upstream and come back?
  2. 2.A train running at 36 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  3. 3.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  4. 4.A boat goes at 20 km/h in still water. The river flows at 17 km/h. How many hours does the boat take to go 111 km upstream and come back?
  5. 5.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  7. 7.Two trains, 190 m and 50 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?
  8. 8.A boat goes 68 km downstream in 4 hours and 44 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  9. 9.A train running at 90 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  10. 10.A train running at 72 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  11. 11.A boat goes 40 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  12. 12.A train running at 90 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  13. 13.A boat goes 44 km downstream in 2 hours and 36 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  14. 14.A train 345 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  15. 15.A train running at 54 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  16. 16.A boat goes 95 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  17. 17.A train running at 72 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  18. 18.A boat goes at 15 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 63 km upstream and come back?
  19. 19.A train running at 36 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  20. 20.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 66 km upstream and come back?
  21. 21.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  22. 22.A boat goes 50 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)?
  23. 23.A train 350 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  24. 24.A boat goes 44 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  25. 25.A boat goes 24 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  26. 26.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  27. 27.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?
  28. 28.Two trains, 130 m and 230 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?
  29. 29.A boat goes at 20 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 90 km upstream and come back?
  30. 30.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  31. 31.Two trains, 100 m and 300 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?
  32. 32.A boat goes 45 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  33. 33.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  34. 34.A boat goes at 7 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 91 km upstream and come back?
  35. 35.Two trains, 140 m and 70 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?
  36. 36.A train 240 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  37. 37.Two trains, 120 m and 80 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?
  38. 38.A train running at 54 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  39. 39.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  40. 40.Two trains, 140 m and 300 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?

Answer key

  1. 8
  2. 150
  3. 34
  4. 40
  5. 22
  6. 12
  7. 8
  8. 3
  9. 275
  10. 580
  11. 3
  12. 625
  13. 2
  14. 23
  15. 345
  16. 17
  17. 440
  18. 10
  19. 240
  20. 72
  21. 9
  22. 9
  23. 14
  24. 5
  25. 1
  26. 21
  27. 14
  28. 9
  29. 12
  30. 17
  31. 10
  32. 7
  33. 29
  34. 98
  35. 7
  36. 16
  37. 8
  38. 420
  39. 22
  40. 11

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