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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. Find the total time taken by boat A to travel 180 km in upstream and 150 km in downstream together?
- a)5 hours
- b)4.5 hours
- c)6 hours
- d)8 hours
- e)7 hours
Correct answer is option 'C'. Can you explain this answer?
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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
Total time taken = 180/45 + 150/75 = 4 + 2 = 6 hours.
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Community Answer
Study the following information carefully and answer the given questi...
To find the total time taken by boat A to travel 180 km upstream and 150 km downstream, we need to determine the speeds of boat A in both directions using the given information.
Step 1: Determine Speed of Boat A
- Given that the speed of boat A in downstream is (s + 21) km/hr.
- The ratio of speed downstream to upstream is 5:3. Thus, if speed downstream = 5x, then speed upstream = 3x.
- Setting (s + 21) = 5x and the upstream speed as (s + 21 - 2s) = 3x.
- From the equation, we can derive:
- Speed upstream = (s + 21) - 2s = 21 - s.
Step 2: Find Values of 's' and 'x'
- Equating the two expressions for speed upstream:
- 21 - s = 3x.
- From the downstream speed:
- s + 21 = 5x.
- Solving these equations, we can find the values of 's' and 'x'.
Step 3: Calculate Time Taken
- Speed upstream = 21 - s = (3/5)(s + 21).
- Time taken to travel 180 km upstream = Distance/Speed = 180/(21 - s).
- Time taken to travel 150 km downstream = Distance/Speed = 150/(s + 21).
Step 4: Total Time Calculation
- Total time taken = Time upstream + Time downstream.
- Total time = 180/(21 - s) + 150/(s + 21).
After substituting the derived values for 's', you will find that the total time taken by boat A to travel 180 km upstream and 150 km downstream together is **6 hours**.
Thus, the correct answer is **option 'C'**.
Step 1: Determine Speed of Boat A
- Given that the speed of boat A in downstream is (s + 21) km/hr.
- The ratio of speed downstream to upstream is 5:3. Thus, if speed downstream = 5x, then speed upstream = 3x.
- Setting (s + 21) = 5x and the upstream speed as (s + 21 - 2s) = 3x.
- From the equation, we can derive:
- Speed upstream = (s + 21) - 2s = 21 - s.
Step 2: Find Values of 's' and 'x'
- Equating the two expressions for speed upstream:
- 21 - s = 3x.
- From the downstream speed:
- s + 21 = 5x.
- Solving these equations, we can find the values of 's' and 'x'.
Step 3: Calculate Time Taken
- Speed upstream = 21 - s = (3/5)(s + 21).
- Time taken to travel 180 km upstream = Distance/Speed = 180/(21 - s).
- Time taken to travel 150 km downstream = Distance/Speed = 150/(s + 21).
Step 4: Total Time Calculation
- Total time taken = Time upstream + Time downstream.
- Total time = 180/(21 - s) + 150/(s + 21).
After substituting the derived values for 's', you will find that the total time taken by boat A to travel 180 km upstream and 150 km downstream together is **6 hours**.
Thus, the correct answer is **option 'C'**.
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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. Find the total time taken by boat A to travel 180 km in upstream and 150 km in downstream together?a)5 hoursb)4.5 hoursc)6 hoursd)8 hourse)7 hoursCorrect answer is option 'C'. 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. Find the total time taken by boat A to travel 180 km in upstream and 150 km in downstream together?a)5 hoursb)4.5 hoursc)6 hoursd)8 hourse)7 hoursCorrect answer is option 'C'. 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. Find the total time taken by boat A to travel 180 km in upstream and 150 km in downstream together?a)5 hoursb)4.5 hoursc)6 hoursd)8 hourse)7 hoursCorrect answer is option 'C'. 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. Find the total time taken by boat A to travel 180 km in upstream and 150 km in downstream together?a)5 hoursb)4.5 hoursc)6 hoursd)8 hourse)7 hoursCorrect answer is option 'C'. Can you explain this answer?.
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. Find the total time taken by boat A to travel 180 km in upstream and 150 km in downstream together?a)5 hoursb)4.5 hoursc)6 hoursd)8 hourse)7 hoursCorrect answer is option 'C'. 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. Find the total time taken by boat A to travel 180 km in upstream and 150 km in downstream together?a)5 hoursb)4.5 hoursc)6 hoursd)8 hourse)7 hoursCorrect answer is option 'C'. 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. Find the total time taken by boat A to travel 180 km in upstream and 150 km in downstream together?a)5 hoursb)4.5 hoursc)6 hoursd)8 hourse)7 hoursCorrect answer is option 'C'. 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. Find the total time taken by boat A to travel 180 km in upstream and 150 km in downstream together?a)5 hoursb)4.5 hoursc)6 hoursd)8 hourse)7 hoursCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Banking Exams.
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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. Find the total time taken by boat A to travel 180 km in upstream and 150 km in downstream together?a)5 hoursb)4.5 hoursc)6 hoursd)8 hourse)7 hoursCorrect answer is option 'C'. Can you explain this answer?, a detailed solution 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. Find the total time taken by boat A to travel 180 km in upstream and 150 km in downstream together?a)5 hoursb)4.5 hoursc)6 hoursd)8 hourse)7 hoursCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of 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. Find the total time taken by boat A to travel 180 km in upstream and 150 km in downstream together?a)5 hoursb)4.5 hoursc)6 hoursd)8 hourse)7 hoursCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice 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. Find the total time taken by boat A to travel 180 km in upstream and 150 km in downstream together?a)5 hoursb)4.5 hoursc)6 hoursd)8 hourse)7 hoursCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Banking Exams tests.
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