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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 439 · 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.Two trains, 110 m and 50 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?
  2. 2.A boat goes 32 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  3. 3.A boat goes 90 km downstream in 5 hours and 40 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  4. 4.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  5. 5.Two trains, 180 m and 120 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?
  6. 6.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?
  7. 7.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  8. 8.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  9. 9.A train 300 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  10. 10.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  11. 11.A boat goes at 20 km/h in still water. The river flows at 17 km/h. How many hours does the boat take to go 111 km upstream and come back?
  12. 12.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  13. 13.A boat goes at 7 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 100 km upstream and come back?
  14. 14.Two trains, 180 m and 70 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?
  15. 15.Two trains, 190 m and 50 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?
  16. 16.A boat goes 75 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)?
  17. 17.A train 125 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  18. 18.A boat goes at 13 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 60 km upstream and come back?
  19. 19.A boat goes 44 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  20. 20.A train running at 90 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  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 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  23. 23.A train 190 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  24. 24.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 240 m long?
  25. 25.A boat goes 56 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  26. 26.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  27. 27.A train 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 180 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  29. 29.A boat goes at 15 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 112 km upstream and come back?
  30. 30.Two trains, 60 m and 90 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?
  31. 31.A train running at 54 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  32. 32.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  33. 33.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?
  34. 34.A boat goes at 10 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 84 km upstream and come back?
  35. 35.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  36. 36.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  37. 37.A boat goes at 9 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 65 km upstream and come back?
  38. 38.Two trains, 240 m and 110 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?
  39. 39.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?
  40. 40.A boat goes 68 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?

Answer key

  1. 8
  2. 2
  3. 13
  4. 14
  5. 12
  6. 10
  7. 14
  8. 9
  9. 15
  10. 6
  11. 40
  12. 29
  13. 35
  14. 10
  15. 6
  16. 12
  17. 5
  18. 13
  19. 1
  20. 475
  21. 18
  22. 40
  23. 19
  24. 32
  25. 5
  26. 17
  27. 6
  28. 9
  29. 15
  30. 5
  31. 240
  32. 17
  33. 34
  34. 20
  35. 10
  36. 14
  37. 18
  38. 10
  39. 14
  40. 15

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