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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 42 · 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 5 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 42 km upstream and come back?
  2. 2.A boat goes at 9 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 77 km upstream and come back?
  3. 3.A boat goes 125 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  4. 4.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?
  5. 5.Two trains, 60 m and 100 m long, run towards each other on side-by-side tracks at 36 km/h and 36 km/h. How many seconds do they take to cross each other?
  6. 6.A train 700 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  7. 7.A train 345 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  8. 8.A train running at 54 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  9. 9.A boat goes 51 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  10. 10.A boat goes at 16 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 28 km upstream and come back?
  11. 11.Two trains, 140 m and 175 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?
  12. 12.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 112 km upstream and come back?
  13. 13.A boat goes at 8 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 56 km upstream and come back?
  14. 14.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  15. 15.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  16. 16.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 75 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  19. 19.Two trains, 110 m and 100 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 train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  21. 21.A boat goes at 8 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 60 km upstream and come back?
  22. 22.Two trains, 60 m and 180 m long, run towards each other on side-by-side tracks at 36 km/h and 36 km/h. How many seconds do they take to cross each other?
  23. 23.A boat goes 85 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  24. 24.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  25. 25.A train 125 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  26. 26.A train 650 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  27. 27.A train 405 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  28. 28.A boat goes at 8 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 96 km upstream and come back?
  29. 29.A boat goes at 8 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 12 km upstream and come back?
  30. 30.Two trains, 70 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?
  31. 31.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  32. 32.A boat goes 22 km downstream in 2 hours and 2 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  33. 33.Two trains, 80 m and 200 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?
  34. 34.A train running at 90 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  35. 35.A boat goes at 6 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 70 km upstream and come back?
  36. 36.A train 340 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  37. 37.A boat goes at 8 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 112 km upstream and come back?
  38. 38.A train 160 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  39. 39.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  40. 40.A boat goes at 16 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 90 km upstream and come back?

Answer key

  1. 20
  2. 18
  3. 5
  4. 50
  5. 8
  6. 28
  7. 23
  8. 150
  9. 2
  10. 8
  11. 9
  12. 36
  13. 32
  14. 22
  15. 24
  16. 6
  17. 18
  18. 5
  19. 6
  20. 27
  21. 64
  22. 12
  23. 3
  24. 15
  25. 5
  26. 26
  27. 27
  28. 32
  29. 4
  30. 4
  31. 28
  32. 6
  33. 8
  34. 650
  35. 24
  36. 17
  37. 64
  38. 8
  39. 17
  40. 48

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