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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 216 · 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 70 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  2. 2.A boat goes 44 km downstream in 4 hours and 4 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  3. 3.Two trains, 50 m and 160 m long, run towards each other on side-by-side tracks at 72 km/h and 36 km/h. How many seconds do they take to cross each other?
  4. 4.A boat goes at 20 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 84 km upstream and come back?
  5. 5.Two trains, 110 m and 240 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  6. 6.A train 750 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  7. 7.A boat goes 60 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)?
  8. 8.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  9. 9.A boat goes at 9 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 84 km upstream and come back?
  10. 10.A boat goes at 17 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 99 km upstream and come back?
  11. 11.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  12. 12.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  13. 13.A train running at 72 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  14. 14.A boat goes at 17 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 120 km upstream and come back?
  15. 15.A train 550 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  16. 16.A boat goes 48 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  17. 17.Two trains, 60 m and 380 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?
  18. 18.A boat goes 75 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  19. 19.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  20. 20.Two trains, 240 m and 210 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?
  21. 21.A boat goes 30 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)?
  22. 22.A boat goes at 15 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 88 km upstream and come back?
  23. 23.Two trains, 230 m and 270 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?
  24. 24.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 11 km upstream and come back?
  25. 25.A train running at 36 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  26. 26.A train running at 36 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  27. 27.A boat goes 55 km downstream in 5 hours and 45 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  28. 28.A boat goes 39 km downstream in 3 hours and 9 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  29. 29.Two trains, 110 m and 65 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  30. 30.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  31. 31.Two trains, 70 m and 290 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?
  32. 32.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  33. 33.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  34. 34.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)?
  35. 35.Two trains, 160 m and 140 m long, run towards each other on side-by-side tracks at 36 km/h and 54 km/h. How many seconds do they take to cross each other?
  36. 36.A boat goes at 14 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 24 km upstream and come back?
  37. 37.A train running at 90 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  38. 38.A boat goes 30 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  39. 39.A boat goes 100 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  40. 40.Two trains, 170 m and 190 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?

Answer key

  1. 12
  2. 6
  3. 7
  4. 10
  5. 10
  6. 30
  7. 11
  8. 26
  9. 27
  10. 102
  11. 9
  12. 7
  13. 320
  14. 34
  15. 22
  16. 8
  17. 11
  18. 1
  19. 36
  20. 10
  21. 11
  22. 15
  23. 10
  24. 12
  25. 260
  26. 230
  27. 10
  28. 5
  29. 5
  30. 24
  31. 12
  32. 20
  33. 39
  34. 1
  35. 12
  36. 7
  37. 375
  38. 14
  39. 17
  40. 8

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