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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 4 · 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 10 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 120 km upstream and come back?
  2. 2.A boat goes at 16 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 87 km upstream and come back?
  3. 3.A train 560 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  4. 4.Two trains, 120 m and 55 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?
  5. 5.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  6. 6.A boat goes at 6 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 9 km upstream and come back?
  7. 7.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  8. 8.A train running at 72 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  9. 9.A train 125 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  10. 10.Two trains, 70 m and 470 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?
  11. 11.A train running at 90 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  12. 12.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  13. 13.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  14. 14.A train 390 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  15. 15.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?
  16. 16.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  17. 17.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  18. 18.A train running at 72 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  19. 19.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  20. 20.A train 150 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  21. 21.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  22. 22.A boat goes at 15 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 56 km upstream and come back?
  23. 23.A boat goes 42 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  24. 24.A boat goes 26 km downstream in 2 hours and 6 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  25. 25.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  26. 26.A boat goes 36 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)?
  27. 27.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?
  28. 28.A train running at 90 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  29. 29.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  30. 30.A boat goes at 9 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 120 km upstream and come back?
  31. 31.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  32. 32.A boat goes 80 km downstream in 4 hours and 64 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  33. 33.A train running at 72 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  34. 34.A boat goes 57 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  35. 35.A boat goes 27 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  36. 36.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  37. 37.A boat goes 34 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)?
  38. 38.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  39. 39.Two trains, 220 m and 140 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?
  40. 40.A train 195 m long runs at 54 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 32
  2. 32
  3. 28
  4. 5
  5. 13
  6. 4
  7. 30
  8. 580
  9. 5
  10. 12
  11. 650
  12. 26
  13. 27
  14. 26
  15. 18
  16. 19
  17. 18
  18. 340
  19. 27
  20. 6
  21. 30
  22. 30
  23. 13
  24. 5
  25. 14
  26. 8
  27. 20
  28. 225
  29. 21
  30. 48
  31. 19
  32. 2
  33. 440
  34. 14
  35. 1
  36. 22
  37. 13
  38. 25
  39. 12
  40. 13

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