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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 387 · 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 3 km/h. How many hours does the boat take to go 91 km upstream and come back?
  2. 2.A boat goes at 8 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 39 km upstream and come back?
  3. 3.Two trains, 80 m and 235 m long, run towards each other on side-by-side tracks at 54 km/h and 72 km/h. How many seconds do they take to cross each other?
  4. 4.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  5. 5.Two trains, 150 m and 120 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?
  6. 6.A boat goes at 17 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 104 km upstream and come back?
  7. 7.Two trains, 180 m and 300 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?
  8. 8.A train running at 72 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  9. 9.Two trains, 60 m and 115 m long, run towards each other on side-by-side tracks at 90 km/h and 36 km/h. How many seconds do they take to cross each other?
  10. 10.A train 520 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  11. 11.Two trains, 70 m and 80 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?
  12. 12.A boat goes 48 km downstream in 3 hours and 42 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  13. 13.Two trains, 80 m and 325 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?
  14. 14.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  15. 15.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  16. 16.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  17. 17.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 400 m long?
  18. 18.A train running at 36 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  19. 19.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 54 km upstream and come back?
  20. 20.A train 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  21. 21.A train running at 36 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  22. 22.A boat goes 115 km downstream in 5 hours and 85 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  23. 23.A boat goes at 10 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 19 km upstream and come back?
  24. 24.A boat goes 48 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  25. 25.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  26. 26.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  27. 27.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  28. 28.Two trains, 100 m and 140 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?
  29. 29.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  30. 30.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  31. 31.A boat goes 30 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  32. 32.Two trains, 170 m and 190 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?
  33. 33.A train running at 54 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  34. 34.Two trains, 210 m and 90 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?
  35. 35.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  36. 36.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)?
  37. 37.A boat goes 75 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  38. 38.A boat goes 80 km downstream in 4 hours and 48 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  39. 39.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  40. 40.A train running at 36 km/h passes a pole in 17 seconds. How long is the train (in metres)?

Answer key

  1. 20
  2. 16
  3. 9
  4. 27
  5. 9
  6. 17
  7. 12
  8. 120
  9. 5
  10. 26
  11. 5
  12. 15
  13. 9
  14. 34
  15. 35
  16. 27
  17. 30
  18. 120
  19. 60
  20. 29
  21. 270
  22. 20
  23. 20
  24. 10
  25. 31
  26. 37
  27. 22
  28. 12
  29. 12
  30. 34
  31. 3
  32. 9
  33. 120
  34. 6
  35. 20
  36. 2
  37. 4
  38. 4
  39. 35
  40. 170

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