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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 161 · 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 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?
  2. 2.Two trains, 240 m and 75 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  3. 3.A train 575 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  4. 4.Two trains, 110 m and 190 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?
  5. 5.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 240 m long?
  6. 6.A boat goes at 9 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 60 km upstream and come back?
  7. 7.A boat goes at 9 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 85 km upstream and come back?
  8. 8.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 600 m long?
  9. 9.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  10. 10.A boat goes 42 km downstream in 2 hours and 38 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  11. 11.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  12. 12.A boat goes 26 km downstream in 2 hours and 6 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  13. 13.A boat goes 36 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  14. 14.A train running at 72 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  15. 15.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  16. 16.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 60 km upstream and come back?
  17. 17.A boat goes 54 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  18. 18.A boat goes at 6 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 30 km upstream and come back?
  19. 19.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  20. 20.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  21. 21.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  22. 22.A train running at 90 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  23. 23.A boat goes 54 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  24. 24.Two trains, 100 m and 260 m long, run towards each other on side-by-side tracks at 36 km/h and 72 km/h. How many seconds do they take to cross each other?
  25. 25.A boat goes at 17 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 120 km upstream and come back?
  26. 26.Two trains, 90 m and 120 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.Two trains, 60 m and 90 m long, run towards each other on side-by-side tracks at 36 km/h and 72 km/h. How many seconds do they take to cross each other?
  28. 28.A boat goes at 8 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 110 km upstream and come back?
  29. 29.A boat goes at 9 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 60 km upstream and come back?
  30. 30.Two trains, 240 m and 110 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?
  31. 31.A boat goes at 15 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 80 km upstream and come back?
  32. 32.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  33. 33.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  34. 34.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 28 km upstream and come back?
  35. 35.A train running at 90 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  36. 36.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  37. 37.A boat goes 48 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  38. 38.A boat goes at 10 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 76 km upstream and come back?
  39. 39.A boat goes 96 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  40. 40.Two trains, 130 m and 185 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?

Answer key

  1. 12
  2. 9
  3. 23
  4. 10
  5. 24
  6. 24
  7. 90
  8. 41
  9. 32
  10. 20
  11. 11
  12. 8
  13. 9
  14. 400
  15. 14
  16. 16
  17. 4
  18. 18
  19. 14
  20. 35
  21. 43
  22. 475
  23. 1
  24. 12
  25. 34
  26. 6
  27. 5
  28. 32
  29. 15
  30. 10
  31. 12
  32. 26
  33. 24
  34. 9
  35. 450
  36. 31
  37. 3
  38. 80
  39. 5
  40. 9

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