← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 616 · 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 9 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 80 km upstream and come back?
  2. 2.A boat goes at 18 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 68 km upstream and come back?
  3. 3.A boat goes at 12 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 108 km upstream and come back?
  4. 4.A boat goes 60 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  5. 5.A boat goes at 15 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 28 km upstream and come back?
  6. 6.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  7. 7.A train running at 54 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  8. 8.A boat goes 39 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  9. 9.A train running at 36 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  10. 10.A boat goes 28 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  11. 11.A train 525 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  12. 12.A boat goes at 20 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 96 km upstream and come back?
  13. 13.A boat goes 24 km downstream in 3 hours and 12 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  14. 14.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  15. 15.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  16. 16.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 112 km upstream and come back?
  17. 17.A train running at 90 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  18. 18.A boat goes at 10 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 99 km upstream and come back?
  19. 19.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  20. 20.A boat goes 66 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)?
  21. 21.Two trains, 160 m and 80 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?
  22. 22.A boat goes at 12 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 36 km upstream and come back?
  23. 23.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  24. 24.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  25. 25.A boat goes 51 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  26. 26.A train 200 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  27. 27.A boat goes 26 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  28. 28.A boat goes 88 km downstream in 4 hours and 48 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  29. 29.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  31. 31.A train 390 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  32. 32.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 60 km upstream and come back?
  33. 33.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  34. 34.A train running at 90 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  35. 35.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?
  36. 36.Two trains, 100 m and 450 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?
  37. 37.A train 280 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  38. 38.A train running at 54 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  39. 39.A boat goes at 7 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 99 km upstream and come back?
  40. 40.A boat goes 70 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 45
  2. 36
  3. 24
  4. 9
  5. 15
  6. 12
  7. 360
  8. 1
  9. 150
  10. 2
  11. 21
  12. 15
  13. 2
  14. 32
  15. 30
  16. 18
  17. 675
  18. 20
  19. 33
  20. 18
  21. 12
  22. 8
  23. 5
  24. 15
  25. 16
  26. 10
  27. 9
  28. 5
  29. 18
  30. 22
  31. 26
  32. 21
  33. 18
  34. 175
  35. 17
  36. 11
  37. 14
  38. 420
  39. 42
  40. 5

Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude