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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 90 · 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, 50 m and 75 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?
  2. 2.A boat goes at 12 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 70 km upstream and come back?
  3. 3.A train 700 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  4. 4.A train 650 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  5. 5.Two trains, 130 m and 110 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?
  6. 6.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 54 km upstream and come back?
  7. 7.A boat goes 75 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)?
  8. 8.A boat goes 40 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  9. 9.A boat goes at 5 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 112 km upstream and come back?
  10. 10.A train running at 72 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  11. 11.A train running at 54 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  12. 12.Two trains, 110 m and 130 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?
  13. 13.A train running at 90 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  14. 14.Two trains, 70 m and 200 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?
  15. 15.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  16. 16.A boat goes at 10 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 42 km upstream and come back?
  17. 17.A train 420 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  18. 18.A train running at 36 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  19. 19.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?
  20. 20.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  21. 21.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?
  22. 22.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  23. 23.A boat goes 110 km downstream in 5 hours and 80 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  24. 24.A train running at 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  25. 25.Two trains, 180 m and 65 m long, run towards each other on side-by-side tracks at 54 km/h and 72 km/h. How many seconds do they take to cross each other?
  26. 26.Two trains, 240 m and 145 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 boat goes 63 km downstream in 3 hours and 57 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  28. 28.Two trains, 140 m and 220 m long, run towards each other on side-by-side tracks at 90 km/h and 72 km/h. How many seconds do they take to cross each other?
  29. 29.A boat goes at 17 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 66 km upstream and come back?
  30. 30.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  31. 31.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 48 km upstream and come back?
  32. 32.A train running at 90 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  33. 33.A boat goes 56 km downstream in 4 hours and 48 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  34. 34.A boat goes 120 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  35. 35.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  36. 36.A train 600 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  37. 37.A boat goes at 18 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 48 km upstream and come back?
  38. 38.A train running at 54 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  39. 39.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  40. 40.A boat goes at 9 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 40 km upstream and come back?

Answer key

  1. 5
  2. 12
  3. 28
  4. 26
  5. 6
  6. 56
  7. 10
  8. 15
  9. 70
  10. 340
  11. 270
  12. 6
  13. 250
  14. 9
  15. 28
  16. 10
  17. 21
  18. 210
  19. 18
  20. 19
  21. 98
  22. 24
  23. 19
  24. 110
  25. 7
  26. 11
  27. 20
  28. 8
  29. 68
  30. 11
  31. 7
  32. 125
  33. 13
  34. 19
  35. 25
  36. 24
  37. 6
  38. 180
  39. 26
  40. 9

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