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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 772 · 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.Two trains, 220 m and 260 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?
  2. 2.A boat goes 44 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  3. 3.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  4. 4.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  5. 5.A boat goes at 13 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 25 km upstream and come back?
  6. 6.A boat goes at 11 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 100 km upstream and come back?
  7. 7.A train running at 36 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  8. 8.A boat goes at 12 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 40 km upstream and come back?
  9. 9.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  10. 10.A boat goes 18 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)?
  11. 11.Two trains, 50 m and 190 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?
  12. 12.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  13. 13.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 625 m long?
  14. 14.Two trains, 170 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?
  15. 15.A train running at 90 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  16. 16.A boat goes 55 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  17. 17.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  18. 18.A train 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  19. 19.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 84 km upstream and come back?
  20. 20.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 360 m long?
  21. 21.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  22. 22.A train 390 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  23. 23.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  24. 24.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 575 m long?
  25. 25.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 180 m long?
  26. 26.A train running at 36 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  27. 27.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  29. 29.A boat goes at 7 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 33 km upstream and come back?
  30. 30.A boat goes at 12 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 66 km upstream and come back?
  31. 31.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  32. 32.Two trains, 80 m and 100 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?
  33. 33.A boat goes at 7 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 65 km upstream and come back?
  34. 34.A train 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  35. 35.A boat goes 70 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  36. 36.Two trains, 160 m and 240 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?
  37. 37.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  38. 38.A boat goes at 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 90 km upstream and come back?
  39. 39.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  40. 40.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 240 m long?

Answer key

  1. 12
  2. 8
  3. 30
  4. 39
  5. 26
  6. 55
  7. 260
  8. 12
  9. 34
  10. 8
  11. 6
  12. 22
  13. 35
  14. 11
  15. 200
  16. 2
  17. 28
  18. 6
  19. 35
  20. 33
  21. 16
  22. 26
  23. 16
  24. 36
  25. 19
  26. 300
  27. 20
  28. 26
  29. 14
  30. 36
  31. 16
  32. 6
  33. 70
  34. 29
  35. 1
  36. 8
  37. 38
  38. 100
  39. 29
  40. 28

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