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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 359 · 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 40 km downstream in 2 hours and 36 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  2. 2.A train 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  3. 3.A boat goes 70 km downstream in 5 hours and 40 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  4. 4.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  5. 5.Two trains, 90 m and 150 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 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 48 km upstream and come back?
  7. 7.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?
  8. 8.A boat goes 28 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  9. 9.A train running at 90 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  10. 10.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  11. 11.A boat goes 26 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  12. 12.A boat goes 68 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  13. 13.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  14. 14.A train running at 72 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  15. 15.Two trains, 190 m and 125 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?
  16. 16.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  17. 17.A boat goes at 10 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 64 km upstream and come back?
  18. 18.Two trains, 100 m and 260 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?
  19. 19.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  20. 20.A boat goes 66 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  21. 21.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  22. 22.A train running at 90 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  23. 23.A boat goes 24 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  24. 24.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  25. 25.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?
  26. 26.A boat goes at 6 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 66 km upstream and come back?
  27. 27.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  28. 28.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  29. 29.A train running at 72 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  30. 30.A boat goes at 9 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 40 km upstream and come back?
  31. 31.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  32. 32.A boat goes at 5 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 36 km upstream and come back?
  33. 33.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  34. 34.A boat goes 92 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)?
  35. 35.A train 480 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  36. 36.A boat goes 40 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  37. 37.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  38. 38.A train running at 54 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  39. 39.Two trains, 50 m and 90 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?
  40. 40.A boat goes at 10 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 51 km upstream and come back?

Answer key

  1. 19
  2. 21
  3. 11
  4. 21
  5. 12
  6. 18
  7. 8
  8. 3
  9. 675
  10. 31
  11. 4
  12. 12
  13. 22
  14. 240
  15. 9
  16. 26
  17. 20
  18. 8
  19. 25
  20. 5
  21. 25
  22. 650
  23. 1
  24. 20
  25. 32
  26. 72
  27. 35
  28. 32
  29. 280
  30. 9
  31. 35
  32. 15
  33. 24
  34. 20
  35. 24
  36. 15
  37. 29
  38. 375
  39. 7
  40. 20

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