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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 852 · 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 60 km downstream in 3 hours and 42 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  2. 2.A train 725 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  3. 3.A boat goes 48 km downstream in 4 hours and 8 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  4. 4.A boat goes at 13 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 44 km upstream and come back?
  5. 5.A train 280 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  6. 6.A boat goes 65 km downstream in 5 hours and 15 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  7. 7.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  8. 8.A train 560 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  9. 9.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  10. 10.A train running at 72 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  11. 11.A boat goes at 7 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 48 km upstream and come back?
  12. 12.Two trains, 120 m and 420 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?
  13. 13.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  14. 14.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  15. 15.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  16. 16.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  17. 17.A train running at 72 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  18. 18.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  19. 19.A boat goes at 13 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 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 345 m long?
  21. 21.A train 200 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  22. 22.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  23. 23.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  24. 24.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  25. 25.A boat goes at 7 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 72 km upstream and come back?
  26. 26.A boat goes at 8 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 110 km upstream and come back?
  27. 27.Two trains, 70 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?
  28. 28.A train running at 90 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  29. 29.Two trains, 160 m and 155 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?
  30. 30.A boat goes 18 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  31. 31.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 120 km upstream and come back?
  32. 32.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  33. 33.A boat goes at 20 km/h in still water. The river flows at 18 km/h. How many hours does the boat take to go 114 km upstream and come back?
  34. 34.A train 195 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  35. 35.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  36. 36.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  37. 37.A boat goes 20 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  38. 38.A boat goes at 7 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 72 km upstream and come back?
  39. 39.A train 340 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  40. 40.A boat goes 35 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 3
  2. 29
  3. 5
  4. 13
  5. 28
  6. 5
  7. 40
  8. 28
  9. 18
  10. 500
  11. 14
  12. 12
  13. 25
  14. 70
  15. 15
  16. 17
  17. 560
  18. 30
  19. 13
  20. 42
  21. 10
  22. 34
  23. 31
  24. 15
  25. 42
  26. 32
  27. 11
  28. 375
  29. 7
  30. 2
  31. 45
  32. 10
  33. 60
  34. 13
  35. 41
  36. 24
  37. 7
  38. 21
  39. 17
  40. 1

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