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Study the following information carefully and answer the given questions.
Speed of boat A in downstream is (s + 21) km/hr and ratio of speed of boat A in downstream and upstream is 5:3. Boat B can cover a distance of 360 km in downstream in 6 hours and ratio of speed of boat A and B in still water is 4:3, respectively. Speed of boat C in still water is (s – 14) km/hr and it can catch boat D, which is 50 km ahead of it in 5 hours, when both the boats are travelling in the same direction.
Note: All the boats (A, B, C and D) are rowing in the same river/stream.
Q. If speed of boat Q in still water is equal to the sum of speeds of boats A and boat B in still water, then find the time taken by boat Q to travel 300 km downstream given that speed of stream is 15 km/hr?
  • a)
    2 hours
  • b)
    2.5 hours
  • c)
    1 hour
  • d)
    3 hours
  • e)
    4 hours
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Study the following information carefully and answer the given questi...
Let speed of boat A in upstream and downstream be ‘3x’ km/hr and ‘5x’ km/hr, respectively.
Speed of boat A in still water = (5x + 3x)/2 = ‘4x’ km/hr
So, speed of stream = (5x – 3x)/2 = ‘x’ km/hr
Speed of boat B in downstream = 360/6 = 60 km/hr
Speed of boat B in still water = (60 – x) km/hr
ATQ;
4x/(60 - x) = 4/3
12x = 240 – 4x
16x = 240
x = 15
So, speed of boatA in downstream = 5x = 5 × 15 = 75 km/hr
Speed of boat A in upstream = 3x = 3 × 15 = 45 km/hr
Speed of stream = x = 15 km/hr
Speed of boat A in still water = 4x = 4 × 15 = 60 km/hr
Since, speed of boat A in downstream = (s + 21) km/hr
So, s + 21 = 75
Or, s = 54
Speed of boat B in still water = 60 – 15 = 45 km/hr
Speed of boat B in upstream = 45 – 15 = 30 km/hr
Since, speed of boat C in still water = s – 14 = 54 – 14 = 40km/hr
Speed of boat C in upstream = 40 – 15 = 25 km/hr
Speed of boat C in downstream = 40 + 15 = 55km/hr
Let speed of boat D in still water is ‘p’km/hr
Since, boat C can catch boat D which is 50 km ahead of it in 5 hours, when both the boats are travelling in the same direction.
Relative speed of boat C w.r.t. boat D = (40 – p) km/hr
So, 50/(40 – p) = 5
40 – p = 10
p = 30
So, speed of boat D in still water = p = 30km/hr
Speed of boat D in upstream = 30 – 15 = 15km/hr
Speed of boat D in downstream = 30 + 15 = 45km/hr
Downstream speed of boat Q = 60 + 45 + 15 = 120 km/hr
Time taken = 300/120 = 2.5 hours.
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Study the following information carefully and answer the given questions.Speed of boat A in downstream is (s + 21) km/hr and ratio of speed of boat A in downstream and upstream is 5:3. Boat B can cover a distance of 360 km in downstream in 6 hours and ratio of speed of boat A and B in still water is 4:3, respectively. Speed of boat C in still water is (s – 14) km/hr and it can catch boat D, which is 50 km ahead of it in 5 hours, when both the boats are travelling in the same direction.Note: All the boats (A, B, C and D) are rowing in the same river/stream.Q. If speed of boat Q in still water is equal to the sum of speeds of boats A and boat B in still water, then find the time taken by boat Q to travel 300 km downstream given that speed of stream is 15 km/hr?a)2 hoursb)2.5 hoursc)1 hourd)3 hourse)4 hoursCorrect answer is option 'B'. Can you explain this answer?
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Study the following information carefully and answer the given questions.Speed of boat A in downstream is (s + 21) km/hr and ratio of speed of boat A in downstream and upstream is 5:3. Boat B can cover a distance of 360 km in downstream in 6 hours and ratio of speed of boat A and B in still water is 4:3, respectively. Speed of boat C in still water is (s – 14) km/hr and it can catch boat D, which is 50 km ahead of it in 5 hours, when both the boats are travelling in the same direction.Note: All the boats (A, B, C and D) are rowing in the same river/stream.Q. If speed of boat Q in still water is equal to the sum of speeds of boats A and boat B in still water, then find the time taken by boat Q to travel 300 km downstream given that speed of stream is 15 km/hr?a)2 hoursb)2.5 hoursc)1 hourd)3 hourse)4 hoursCorrect answer is option 'B'. Can you explain this answer? for Banking Exams 2024 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about Study the following information carefully and answer the given questions.Speed of boat A in downstream is (s + 21) km/hr and ratio of speed of boat A in downstream and upstream is 5:3. Boat B can cover a distance of 360 km in downstream in 6 hours and ratio of speed of boat A and B in still water is 4:3, respectively. Speed of boat C in still water is (s – 14) km/hr and it can catch boat D, which is 50 km ahead of it in 5 hours, when both the boats are travelling in the same direction.Note: All the boats (A, B, C and D) are rowing in the same river/stream.Q. If speed of boat Q in still water is equal to the sum of speeds of boats A and boat B in still water, then find the time taken by boat Q to travel 300 km downstream given that speed of stream is 15 km/hr?a)2 hoursb)2.5 hoursc)1 hourd)3 hourse)4 hoursCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Banking Exams 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Study the following information carefully and answer the given questions.Speed of boat A in downstream is (s + 21) km/hr and ratio of speed of boat A in downstream and upstream is 5:3. Boat B can cover a distance of 360 km in downstream in 6 hours and ratio of speed of boat A and B in still water is 4:3, respectively. Speed of boat C in still water is (s – 14) km/hr and it can catch boat D, which is 50 km ahead of it in 5 hours, when both the boats are travelling in the same direction.Note: All the boats (A, B, C and D) are rowing in the same river/stream.Q. If speed of boat Q in still water is equal to the sum of speeds of boats A and boat B in still water, then find the time taken by boat Q to travel 300 km downstream given that speed of stream is 15 km/hr?a)2 hoursb)2.5 hoursc)1 hourd)3 hourse)4 hoursCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Study the following information carefully and answer the given questions.Speed of boat A in downstream is (s + 21) km/hr and ratio of speed of boat A in downstream and upstream is 5:3. Boat B can cover a distance of 360 km in downstream in 6 hours and ratio of speed of boat A and B in still water is 4:3, respectively. Speed of boat C in still water is (s – 14) km/hr and it can catch boat D, which is 50 km ahead of it in 5 hours, when both the boats are travelling in the same direction.Note: All the boats (A, B, C and D) are rowing in the same river/stream.Q. If speed of boat Q in still water is equal to the sum of speeds of boats A and boat B in still water, then find the time taken by boat Q to travel 300 km downstream given that speed of stream is 15 km/hr?a)2 hoursb)2.5 hoursc)1 hourd)3 hourse)4 hoursCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Banking Exams. Download more important topics, notes, lectures and mock test series for Banking Exams Exam by signing up for free.
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