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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 995 · 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 48 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  2. 2.Two trains, 170 m and 160 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?
  3. 3.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 88 km upstream and come back?
  4. 4.A train running at 72 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  5. 5.A train running at 90 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  6. 6.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  7. 7.Two trains, 100 m and 80 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?
  8. 8.A train 450 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  9. 9.A train running at 54 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  10. 10.A train running at 36 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  11. 11.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 420 m long?
  12. 12.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  13. 13.Two trains, 140 m and 220 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?
  14. 14.A boat goes 32 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  15. 15.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 48 km upstream and come back?
  16. 16.A boat goes at 17 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 93 km upstream and come back?
  17. 17.A boat goes 40 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  18. 18.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  19. 19.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  20. 20.A boat goes at 8 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 63 km upstream and come back?
  21. 21.Two trains, 100 m and 100 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?
  22. 22.A train running at 54 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  23. 23.Two trains, 80 m and 100 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?
  24. 24.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  25. 25.A train 260 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  26. 26.A train running at 36 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  27. 27.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  28. 28.A train 375 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  29. 29.A train running at 90 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  30. 30.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  31. 31.A boat goes 60 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  32. 32.A boat goes 88 km downstream in 4 hours and 64 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  33. 33.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  34. 34.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?
  35. 35.A train 675 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  36. 36.A train 250 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  37. 37.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  38. 38.A boat goes 40 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  39. 39.A boat goes 36 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  40. 40.A boat goes at 8 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 45 km upstream and come back?

Answer key

  1. 3
  2. 11
  3. 48
  4. 540
  5. 150
  6. 23
  7. 4
  8. 30
  9. 195
  10. 170
  11. 40
  12. 5
  13. 9
  14. 1
  15. 15
  16. 34
  17. 8
  18. 14
  19. 24
  20. 16
  21. 8
  22. 300
  23. 4
  24. 10
  25. 26
  26. 240
  27. 26
  28. 25
  29. 250
  30. 10
  31. 1
  32. 19
  33. 6
  34. 20
  35. 27
  36. 10
  37. 27
  38. 2
  39. 11
  40. 48

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