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A boat is taking 10 hrs to the destination and return to same point. If time taken to cover 3 km distance in downstream is equal to time taken to cover 2 km in upstream if distance between original point to destination is 60 km. What is the ratio of the speed of boat in still water and rate of current?
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A boat is taking 10 hrs to the destination and return to same point. I...
Given Information:
- Time taken for the boat to reach the destination and return is 10 hours
- Time taken to cover 3 km downstream is equal to time taken to cover 2 km upstream
- Distance between the original point and destination is 60 km

Let's solve the problem step by step:

Step 1: Calculate the speed of the boat in still water
- Let the speed of the boat in still water be x km/hr and the rate of the current be y km/hr
- Speed downstream = (x + y) km/hr
- Speed upstream = (x - y) km/hr

Step 2: Calculate the time taken to cover 3 km downstream and 2 km upstream
- Time taken to cover 3 km downstream = 3 / (x + y) hours
- Time taken to cover 2 km upstream = 2 / (x - y) hours

Step 3: Formulate the equation based on the given information
- According to the given information, the time taken to cover 3 km downstream is equal to the time taken to cover 2 km upstream
- Therefore, we have: 3 / (x + y) = 2 / (x - y)

Step 4: Calculate the ratio of the speed of the boat in still water and rate of current
- Solve the equation obtained in Step 3 to find the values of x and y
- Once x and y are determined, the ratio of the speed of the boat in still water (x) to the rate of current (y) can be calculated

Final Answer:
- The ratio of the speed of the boat in still water to the rate of current can be calculated by solving the equation derived from the given information.
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A boat is taking 10 hrs to the destination and return to same point. I...
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A boat is taking 10 hrs to the destination and return to same point. If time taken to cover 3 km distance in downstream is equal to time taken to cover 2 km in upstream if distance between original point to destination is 60 km. What is the ratio of the speed of boat in still water and rate of current?
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A boat is taking 10 hrs to the destination and return to same point. If time taken to cover 3 km distance in downstream is equal to time taken to cover 2 km in upstream if distance between original point to destination is 60 km. What is the ratio of the speed of boat in still water and rate of current? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A boat is taking 10 hrs to the destination and return to same point. If time taken to cover 3 km distance in downstream is equal to time taken to cover 2 km in upstream if distance between original point to destination is 60 km. What is the ratio of the speed of boat in still water and rate of current? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A boat is taking 10 hrs to the destination and return to same point. If time taken to cover 3 km distance in downstream is equal to time taken to cover 2 km in upstream if distance between original point to destination is 60 km. What is the ratio of the speed of boat in still water and rate of current?.
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