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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 957 · 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 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  2. 2.A boat goes 50 km downstream in 5 hours and 10 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  3. 3.Two trains, 120 m and 90 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?
  4. 4.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  5. 5.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  6. 6.Two trains, 50 m and 390 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?
  7. 7.Two trains, 60 m and 190 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?
  8. 8.A boat goes at 15 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 56 km upstream and come back?
  9. 9.Two trains, 90 m and 60 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?
  10. 10.Two trains, 80 m and 200 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?
  11. 11.A train running at 72 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  12. 12.A boat goes 33 km downstream in 3 hours and 9 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  13. 13.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  14. 14.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  15. 15.A boat goes at 16 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 60 km upstream and come back?
  16. 16.A boat goes at 12 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 40 km upstream and come back?
  17. 17.A train 390 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  18. 18.A boat goes 100 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  19. 19.Two trains, 130 m and 80 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?
  20. 20.A boat goes 65 km downstream in 5 hours and 45 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  21. 21.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  22. 22.A boat goes 90 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  23. 23.A train running at 36 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  24. 24.A boat goes at 10 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 72 km upstream and come back?
  25. 25.A train 315 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  26. 26.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  27. 27.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  28. 28.A boat goes 45 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  29. 29.A boat goes at 8 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 117 km upstream and come back?
  30. 30.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  31. 31.A boat goes 42 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  32. 32.A boat goes 48 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  33. 33.A boat goes 16 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  34. 34.A boat goes at 8 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 39 km upstream and come back?
  35. 35.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  36. 36.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  37. 37.A boat goes at 11 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?
  38. 38.A train running at 36 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  39. 39.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 105 km upstream and come back?
  40. 40.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 11 km upstream and come back?

Answer key

  1. 11
  2. 4
  3. 6
  4. 18
  5. 19
  6. 11
  7. 10
  8. 30
  9. 5
  10. 8
  11. 160
  12. 4
  13. 23
  14. 14
  15. 8
  16. 12
  17. 26
  18. 5
  19. 6
  20. 11
  21. 24
  22. 15
  23. 270
  24. 15
  25. 21
  26. 5
  27. 7
  28. 5
  29. 48
  30. 19
  31. 16
  32. 9
  33. 6
  34. 16
  35. 16
  36. 18
  37. 22
  38. 210
  39. 50
  40. 12

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