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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 781 · 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.Two trains, 110 m and 65 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?
  2. 2.A boat goes at 14 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 84 km upstream and come back?
  3. 3.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  4. 4.A train running at 90 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  5. 5.A train running at 90 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  6. 6.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)?
  7. 7.A train running at 36 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  8. 8.A boat goes at 7 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 99 km upstream and come back?
  9. 9.Two trains, 170 m and 235 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?
  10. 10.A boat goes 51 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  11. 11.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  12. 12.A train 450 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  13. 13.A train running at 54 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  14. 14.A train 140 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  15. 15.A boat goes 45 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  16. 16.A boat goes at 18 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 105 km upstream and come back?
  17. 17.Two trains, 240 m and 120 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?
  18. 18.A train running at 72 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  19. 19.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  20. 20.A train running at 36 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  21. 21.A train 345 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  22. 22.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  23. 23.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  24. 24.A boat goes at 13 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 120 km upstream and come back?
  25. 25.A train running at 54 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  26. 26.A train 270 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  27. 27.A train running at 54 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  28. 28.A boat goes at 13 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 72 km upstream and come back?
  29. 29.A boat goes 20 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  30. 30.A train 200 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  31. 31.A boat goes 100 km downstream in 5 hours and 90 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  32. 32.Two trains, 170 m and 310 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?
  33. 33.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  34. 34.A train running at 90 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  35. 35.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  36. 36.A boat goes 46 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  37. 37.Two trains, 50 m and 370 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?
  38. 38.A boat goes 36 km downstream in 4 hours and 12 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  39. 39.A boat goes at 15 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 96 km upstream and come back?
  40. 40.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 5
  2. 16
  3. 20
  4. 200
  5. 225
  6. 1
  7. 300
  8. 42
  9. 9
  10. 12
  11. 19
  12. 18
  13. 225
  14. 7
  15. 1
  16. 12
  17. 12
  18. 160
  19. 17
  20. 150
  21. 23
  22. 33
  23. 5
  24. 26
  25. 360
  26. 18
  27. 300
  28. 13
  29. 9
  30. 10
  31. 1
  32. 12
  33. 15
  34. 700
  35. 13
  36. 4
  37. 12
  38. 6
  39. 20
  40. 22

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