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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 484 · 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 36 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  2. 2.Two trains, 100 m and 145 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 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  4. 4.A boat goes 60 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  5. 5.A boat goes at 12 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 92 km upstream and come back?
  6. 6.A boat goes 60 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  7. 7.Two trains, 160 m and 140 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 10 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 91 km upstream and come back?
  9. 9.A train 400 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  10. 10.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  11. 11.A boat goes 56 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  12. 12.A train 300 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  13. 13.A train running at 54 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  14. 14.A train running at 36 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  15. 15.A boat goes 65 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  16. 16.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  18. 18.A train 240 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  19. 19.A boat goes 48 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)?
  20. 20.A boat goes 105 km downstream in 5 hours and 95 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  21. 21.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  22. 22.A boat goes at 11 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 105 km upstream and come back?
  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.A boat goes 75 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)?
  25. 25.A boat goes at 16 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 78 km upstream and come back?
  26. 26.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?
  27. 27.A boat goes 28 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  28. 28.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  29. 29.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 30 km upstream and come back?
  30. 30.Two trains, 130 m and 170 m long, run towards each other on side-by-side tracks at 54 km/h and 36 km/h. How many seconds do they take to cross each other?
  31. 31.Two trains, 50 m and 230 m long, run towards each other on side-by-side tracks at 72 km/h and 72 km/h. How many seconds do they take to cross each other?
  32. 32.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 600 m long?
  33. 33.A boat goes 33 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  34. 34.A train running at 72 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  35. 35.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  36. 36.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  37. 37.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?
  38. 38.A train 250 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  39. 39.A train 390 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  40. 40.A train 475 m long runs at 90 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 1
  2. 7
  3. 21
  4. 9
  5. 96
  6. 5
  7. 12
  8. 20
  9. 20
  10. 29
  11. 11
  12. 30
  13. 90
  14. 220
  15. 1
  16. 8
  17. 29
  18. 16
  19. 12
  20. 1
  21. 27
  22. 22
  23. 1
  24. 12
  25. 16
  26. 25
  27. 2
  28. 26
  29. 8
  30. 12
  31. 7
  32. 31
  33. 9
  34. 300
  35. 36
  36. 16
  37. 36
  38. 25
  39. 26
  40. 19

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