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A man starts rowing from Point A in the direction of the water flow at a constant speed of 10 kilometers per hour. After rowing for 10 kilometers, he remembers that he forgot an important object at Point A and turns back to get it. After getting the object, he starts moving again in the direction of water flow, but due to an onset of exhaustion, he now rows at a constant speed of 8 kilometers per hour. After rowing for 26 kilometers, he reaches Point D, where he rests for 1 hour, and then resumes his journey in the same direction, rowing at a constant speed of 9 kilometers per hour, till he reaches Point B, which is 14 kilometers downstream from Point D. If the speed of water flow is 5 kilometers per hour, what is the average speed of the man for the entire journey?
  • a)
    9 kilometers per hour
  • b)
    130/17   kilometers per hour
  • c)
    120/17  kilometers per hour
  • d)
    20/3  kilometers per hour
  • e)
    6  kilometers per hour
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A man starts rowing from Point A in the direction of the water flow at...
Problem Solving Approach:

- Break down the journey into different parts and calculate the time taken for each part.
- Use the time and distance information to calculate the average speed of the entire journey.

Calculation:

- Let's assume the distance between A and D is x kilometers.
- The speed of the water flow is 5 km/hr, so the effective speed of the man while rowing in the direction of water flow is 10 + 5 = 15 km/hr, and while rowing against the water flow is 8 - 5 = 3 km/hr.
- Time taken to row from A to D = distance/speed = x/15 hours
- Time taken to row from D to B = distance/speed = 14/9 hours
- Time taken for rest at D = 1 hour
- Time taken for the round trip from A to D and back to D = (10/15) + (10/3) = 2.33 hours

- Total distance covered in the journey = 10 + x + 26 + 14 = x + 50 kilometers
- Total time taken for the journey = x/15 + 2.33 + 26/8 + 14/9 + 1 = x/15 + 6.8 hours
- Average speed of the journey = total distance covered/total time taken = (x + 50)/(x/15 + 6.8) kilometers per hour

- To find the value of x, we can use the fact that the time taken for the round trip from A to D and back to D is the same as the time taken to row from A to D.
- (10/15) + (10/3) = x/15
- x = 20 kilometers

- Substituting x = 20 in the average speed formula, we get:
- Average speed = (20 + 50)/(20/15 + 6.8) = 9 kilometers per hour

Therefore, the correct answer is option A, 9 kilometers per hour.
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A man starts rowing from Point A in the direction of the water flow at...
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A man starts rowing from Point A in the direction of the water flow at a constant speed of 10 kilometers per hour. After rowing for 10 kilometers, he remembers that he forgot an important object at Point A and turns back to get it. After getting the object, he starts moving again in the direction of water flow, but due to an onset of exhaustion, he now rows at a constant speed of 8 kilometers per hour. After rowing for 26 kilometers, he reaches Point D, where he rests for 1 hour, and then resumes his journey in the same direction, rowing at a constant speed of 9 kilometers per hour, till he reaches Point B, which is 14 kilometers downstream from Point D. If the speed of water flow is 5 kilometers per hour, what is the average speed of the man for the entire journey?a)9 kilometers per hourb)130/17 kilometers per hourc)120/17 kilometers per hourd)20/3 kilometers per houre)6 kilometers per hourCorrect answer is option 'A'. Can you explain this answer?
Question Description
A man starts rowing from Point A in the direction of the water flow at a constant speed of 10 kilometers per hour. After rowing for 10 kilometers, he remembers that he forgot an important object at Point A and turns back to get it. After getting the object, he starts moving again in the direction of water flow, but due to an onset of exhaustion, he now rows at a constant speed of 8 kilometers per hour. After rowing for 26 kilometers, he reaches Point D, where he rests for 1 hour, and then resumes his journey in the same direction, rowing at a constant speed of 9 kilometers per hour, till he reaches Point B, which is 14 kilometers downstream from Point D. If the speed of water flow is 5 kilometers per hour, what is the average speed of the man for the entire journey?a)9 kilometers per hourb)130/17 kilometers per hourc)120/17 kilometers per hourd)20/3 kilometers per houre)6 kilometers per hourCorrect answer is option 'A'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about A man starts rowing from Point A in the direction of the water flow at a constant speed of 10 kilometers per hour. After rowing for 10 kilometers, he remembers that he forgot an important object at Point A and turns back to get it. After getting the object, he starts moving again in the direction of water flow, but due to an onset of exhaustion, he now rows at a constant speed of 8 kilometers per hour. After rowing for 26 kilometers, he reaches Point D, where he rests for 1 hour, and then resumes his journey in the same direction, rowing at a constant speed of 9 kilometers per hour, till he reaches Point B, which is 14 kilometers downstream from Point D. If the speed of water flow is 5 kilometers per hour, what is the average speed of the man for the entire journey?a)9 kilometers per hourb)130/17 kilometers per hourc)120/17 kilometers per hourd)20/3 kilometers per houre)6 kilometers per hourCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man starts rowing from Point A in the direction of the water flow at a constant speed of 10 kilometers per hour. After rowing for 10 kilometers, he remembers that he forgot an important object at Point A and turns back to get it. After getting the object, he starts moving again in the direction of water flow, but due to an onset of exhaustion, he now rows at a constant speed of 8 kilometers per hour. After rowing for 26 kilometers, he reaches Point D, where he rests for 1 hour, and then resumes his journey in the same direction, rowing at a constant speed of 9 kilometers per hour, till he reaches Point B, which is 14 kilometers downstream from Point D. If the speed of water flow is 5 kilometers per hour, what is the average speed of the man for the entire journey?a)9 kilometers per hourb)130/17 kilometers per hourc)120/17 kilometers per hourd)20/3 kilometers per houre)6 kilometers per hourCorrect answer is option 'A'. Can you explain this answer?.
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If the speed of water flow is 5 kilometers per hour, what is the average speed of the man for the entire journey?a)9 kilometers per hourb)130/17 kilometers per hourc)120/17 kilometers per hourd)20/3 kilometers per houre)6 kilometers per hourCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for A man starts rowing from Point A in the direction of the water flow at a constant speed of 10 kilometers per hour. After rowing for 10 kilometers, he remembers that he forgot an important object at Point A and turns back to get it. After getting the object, he starts moving again in the direction of water flow, but due to an onset of exhaustion, he now rows at a constant speed of 8 kilometers per hour. After rowing for 26 kilometers, he reaches Point D, where he rests for 1 hour, and then resumes his journey in the same direction, rowing at a constant speed of 9 kilometers per hour, till he reaches Point B, which is 14 kilometers downstream from Point D. If the speed of water flow is 5 kilometers per hour, what is the average speed of the man for the entire journey?a)9 kilometers per hourb)130/17 kilometers per hourc)120/17 kilometers per hourd)20/3 kilometers per houre)6 kilometers per hourCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of A man starts rowing from Point A in the direction of the water flow at a constant speed of 10 kilometers per hour. After rowing for 10 kilometers, he remembers that he forgot an important object at Point A and turns back to get it. After getting the object, he starts moving again in the direction of water flow, but due to an onset of exhaustion, he now rows at a constant speed of 8 kilometers per hour. After rowing for 26 kilometers, he reaches Point D, where he rests for 1 hour, and then resumes his journey in the same direction, rowing at a constant speed of 9 kilometers per hour, till he reaches Point B, which is 14 kilometers downstream from Point D. If the speed of water flow is 5 kilometers per hour, what is the average speed of the man for the entire journey?a)9 kilometers per hourb)130/17 kilometers per hourc)120/17 kilometers per hourd)20/3 kilometers per houre)6 kilometers per hourCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A man starts rowing from Point A in the direction of the water flow at a constant speed of 10 kilometers per hour. After rowing for 10 kilometers, he remembers that he forgot an important object at Point A and turns back to get it. After getting the object, he starts moving again in the direction of water flow, but due to an onset of exhaustion, he now rows at a constant speed of 8 kilometers per hour. After rowing for 26 kilometers, he reaches Point D, where he rests for 1 hour, and then resumes his journey in the same direction, rowing at a constant speed of 9 kilometers per hour, till he reaches Point B, which is 14 kilometers downstream from Point D. If the speed of water flow is 5 kilometers per hour, what is the average speed of the man for the entire journey?a)9 kilometers per hourb)130/17 kilometers per hourc)120/17 kilometers per hourd)20/3 kilometers per houre)6 kilometers per hourCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice GMAT tests.
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