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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 74 · 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 6 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 112 km upstream and come back?
  2. 2.A boat goes 26 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  3. 3.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  4. 4.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  5. 5.A boat goes at 14 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 66 km upstream and come back?
  6. 6.Two trains, 200 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?
  7. 7.Two trains, 90 m and 135 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?
  8. 8.A boat goes 60 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  9. 9.A train 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  10. 10.Two trains, 90 m and 390 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?
  11. 11.A train running at 36 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  12. 12.Two trains, 90 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?
  13. 13.Two trains, 110 m and 430 m long, run towards each other on side-by-side tracks at 72 km/h and 90 km/h. How many seconds do they take to cross each other?
  14. 14.A train running at 54 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  15. 15.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?
  16. 16.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  18. 18.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 28 km upstream and come back?
  19. 19.A boat goes 24 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  20. 20.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?
  21. 21.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  22. 22.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  23. 23.A boat goes 60 km downstream in 3 hours and 42 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  24. 24.A train running at 90 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  25. 25.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  26. 26.A boat goes 48 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  27. 27.Two trains, 110 m and 220 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?
  28. 28.Two trains, 240 m and 360 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  29. 29.A train 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  30. 30.A boat goes 30 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  31. 31.Two trains, 130 m and 50 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?
  32. 32.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  33. 33.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  34. 34.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?
  35. 35.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 90 km upstream and come back?
  36. 36.A boat goes 76 km downstream in 4 hours and 68 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  37. 37.Two trains, 170 m and 215 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?
  38. 38.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  39. 39.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?
  40. 40.A boat goes 26 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 42
  2. 9
  3. 31
  4. 13
  5. 14
  6. 8
  7. 5
  8. 3
  9. 25
  10. 12
  11. 170
  12. 6
  13. 12
  14. 225
  15. 32
  16. 9
  17. 12
  18. 16
  19. 2
  20. 18
  21. 24
  22. 18
  23. 3
  24. 475
  25. 38
  26. 3
  27. 11
  28. 12
  29. 29
  30. 9
  31. 9
  32. 5
  33. 33
  34. 30
  35. 24
  36. 18
  37. 11
  38. 100
  39. 6
  40. 3

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