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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 989 · 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 17 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 104 km upstream and come back?
  2. 2.Two trains, 230 m and 170 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?
  3. 3.Two trains, 50 m and 160 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?
  4. 4.A train 420 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  5. 5.Two trains, 120 m and 210 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?
  6. 6.A train running at 90 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  7. 7.A train 300 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  8. 8.A boat goes 22 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  9. 9.A train running at 72 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  10. 10.A boat goes 20 km downstream in 2 hours and 4 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 cross a platform 210 m long?
  12. 12.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 300 m long?
  13. 13.A train running at 54 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  14. 14.A train running at 54 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  15. 15.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  16. 16.A boat goes 32 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  17. 17.Two trains, 150 m and 60 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 boat goes 120 km downstream in 5 hours and 80 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  19. 19.A train 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  20. 20.A boat goes at 7 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 45 km upstream and come back?
  21. 21.A train running at 72 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  22. 22.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 500 m long?
  23. 23.A boat goes at 10 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 90 km upstream and come back?
  24. 24.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  25. 25.A train 240 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  26. 26.A train 435 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  27. 27.Two trains, 220 m and 60 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?
  28. 28.Two trains, 110 m and 240 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?
  29. 29.Two trains, 120 m and 160 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?
  30. 30.A boat goes at 12 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 90 km upstream and come back?
  31. 31.A train running at 36 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  32. 32.A boat goes 22 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  33. 33.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 255 m long?
  34. 34.A boat goes 72 km downstream in 3 hours and 42 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  35. 35.A boat goes 90 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  36. 36.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 96 km upstream and come back?
  37. 37.A boat goes at 10 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 99 km upstream and come back?
  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 57 km upstream and come back?
  39. 39.A boat goes 28 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)?
  40. 40.Two trains, 70 m and 80 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?

Answer key

  1. 17
  2. 10
  3. 7
  4. 21
  5. 11
  6. 125
  7. 15
  8. 9
  9. 340
  10. 6
  11. 25
  12. 22
  13. 105
  14. 150
  15. 26
  16. 4
  17. 7
  18. 4
  19. 9
  20. 14
  21. 380
  22. 43
  23. 50
  24. 11
  25. 12
  26. 29
  27. 8
  28. 10
  29. 8
  30. 16
  31. 300
  32. 10
  33. 24
  34. 5
  35. 2
  36. 14
  37. 20
  38. 60
  39. 9
  40. 6

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