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Quantitative aptitude lesson 21: Trains, boats and streams · Set 879 · 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, 90 m and 110 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?
  2. 2.A boat goes 72 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  3. 3.A boat goes at 18 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 56 km upstream and come back?
  4. 4.A boat goes at 15 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 29 km upstream and come back?
  5. 5.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 120 km upstream and come back?
  6. 6.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?
  7. 7.A boat goes 45 km downstream in 5 hours and 15 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  8. 8.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?
  9. 9.A boat goes 76 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  10. 10.A boat goes 52 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)?
  11. 11.A train running at 72 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  12. 12.A train running at 90 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  13. 13.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 16 km upstream and come back?
  14. 14.A boat goes 84 km downstream in 4 hours and 68 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  15. 15.A boat goes at 6 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 30 km upstream and come back?
  16. 16.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 180 m long?
  17. 17.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  18. 18.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 420 m long?
  19. 19.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  20. 20.A boat goes 42 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)?
  21. 21.Two trains, 250 m and 200 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?
  22. 22.Two trains, 110 m and 220 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?
  23. 23.A train running at 90 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  24. 24.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 84 km upstream and come back?
  25. 25.A train running at 90 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  26. 26.A boat goes 28 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  27. 27.A train running at 72 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  28. 28.A boat goes 90 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  29. 29.A boat goes 125 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  30. 30.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  31. 31.A train running at 90 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  32. 32.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  33. 33.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  34. 34.Two trains, 230 m and 70 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 running at 90 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  36. 36.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  37. 37.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?
  38. 38.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  39. 39.A boat goes at 15 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 54 km upstream and come back?
  40. 40.A boat goes 55 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?

Answer key

  1. 5
  2. 2
  3. 9
  4. 30
  5. 35
  6. 34
  7. 3
  8. 12
  9. 5
  10. 10
  11. 520
  12. 275
  13. 6
  14. 2
  15. 18
  16. 26
  17. 21
  18. 36
  19. 80
  20. 12
  21. 9
  22. 11
  23. 225
  24. 40
  25. 200
  26. 1
  27. 400
  28. 2
  29. 5
  30. 34
  31. 350
  32. 36
  33. 25
  34. 6
  35. 450
  36. 27
  37. 20
  38. 18
  39. 20
  40. 9

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