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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 578 · 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 11 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 48 km upstream and come back?
  2. 2.A train running at 90 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  3. 3.Two trains, 70 m and 70 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?
  4. 4.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 60 km upstream and come back?
  5. 5.A boat goes at 5 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 21 km upstream and come back?
  6. 6.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  7. 7.A train 250 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  8. 8.Two trains, 120 m and 90 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?
  9. 9.A train running at 90 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  10. 10.A train 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  11. 11.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  12. 12.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  13. 13.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  14. 14.A train running at 90 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  15. 15.A train running at 72 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  16. 16.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 56 km upstream and come back?
  17. 17.Two trains, 200 m and 75 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?
  18. 18.A train 260 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  19. 19.Two trains, 50 m and 160 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?
  20. 20.A train 220 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  21. 21.A boat goes 105 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  22. 22.A train running at 54 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  23. 23.A train running at 36 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  24. 24.A train 240 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  25. 25.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  26. 26.Two trains, 250 m and 245 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?
  27. 27.A train running at 36 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  28. 28.A boat goes at 11 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 105 km upstream and come back?
  29. 29.A train 480 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  30. 30.A boat goes 38 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)?
  31. 31.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  32. 32.A train running at 90 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  33. 33.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?
  34. 34.A train running at 90 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  35. 35.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 240 m long?
  36. 36.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  37. 37.A boat goes at 10 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 72 km upstream and come back?
  38. 38.A boat goes at 6 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 35 km upstream and come back?
  39. 39.Two trains, 100 m and 145 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?
  40. 40.Two trains, 110 m and 140 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?

Answer key

  1. 11
  2. 525
  3. 4
  4. 17
  5. 10
  6. 21
  7. 10
  8. 6
  9. 325
  10. 30
  11. 22
  12. 27
  13. 37
  14. 250
  15. 120
  16. 21
  17. 11
  18. 13
  19. 6
  20. 11
  21. 18
  22. 105
  23. 50
  24. 12
  25. 11
  26. 11
  27. 140
  28. 22
  29. 24
  30. 14
  31. 15
  32. 150
  33. 15
  34. 350
  35. 32
  36. 23
  37. 40
  38. 12
  39. 7
  40. 10

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