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A boat takes three and one fifth of time taken by it to go downstream while coming in upstream. If speed of current is 5 km /hr. find the speed of boat.
- a)6 km/hr
- b)9 km/hr
- c)5.94 km/hr
- d)9.54 km/hr
Correct answer is option 'D'. Can you explain this answer?
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A boat takes three and one fifth of time taken by it to go downstream ...
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A boat takes three and one fifth of time taken by it to go downstream ...
To solve this problem, we need to use the formula:
Speed = Distance / Time
Let's assume the speed of the boat is 'b' km/hr and the speed of the current is 5 km/hr.
Going downstream:
The effective speed of the boat when going downstream is the sum of the boat's speed and the speed of the current. So the speed of the boat when going downstream is (b + 5) km/hr.
Coming upstream:
The effective speed of the boat when coming upstream is the difference between the boat's speed and the speed of the current. So the speed of the boat when coming upstream is (b - 5) km/hr.
Given that the boat takes 3 and 1/5 times longer to go downstream than to come upstream, we can set up the following equation:
Time downstream = 3 and 1/5 * Time upstream
Let's say the time upstream is 't' hours. Then the time downstream is (3 and 1/5) * t hours.
Distance downstream = Speed downstream * Time downstream
Distance upstream = Speed upstream * Time upstream
Since the distances downstream and upstream are the same (as it is a round trip), we can equate the two distances:
Speed downstream * Time downstream = Speed upstream * Time upstream
Substituting the values:
(b + 5) * (3 and 1/5) * t = (b - 5) * t
Now, we can solve for 'b':
(16/5) * (b + 5) = b - 5
16b + 80 = 5b - 25
16b - 5b = -25 - 80
11b = -105
b = -105/11
b = -9.54 km/hr
Since speed cannot be negative, we take the positive value:
Speed of the boat, b = 9.54 km/hr
Therefore, the correct answer is option 'D' - 9.54 km/hr.
Speed = Distance / Time
Let's assume the speed of the boat is 'b' km/hr and the speed of the current is 5 km/hr.
Going downstream:
The effective speed of the boat when going downstream is the sum of the boat's speed and the speed of the current. So the speed of the boat when going downstream is (b + 5) km/hr.
Coming upstream:
The effective speed of the boat when coming upstream is the difference between the boat's speed and the speed of the current. So the speed of the boat when coming upstream is (b - 5) km/hr.
Given that the boat takes 3 and 1/5 times longer to go downstream than to come upstream, we can set up the following equation:
Time downstream = 3 and 1/5 * Time upstream
Let's say the time upstream is 't' hours. Then the time downstream is (3 and 1/5) * t hours.
Distance downstream = Speed downstream * Time downstream
Distance upstream = Speed upstream * Time upstream
Since the distances downstream and upstream are the same (as it is a round trip), we can equate the two distances:
Speed downstream * Time downstream = Speed upstream * Time upstream
Substituting the values:
(b + 5) * (3 and 1/5) * t = (b - 5) * t
Now, we can solve for 'b':
(16/5) * (b + 5) = b - 5
16b + 80 = 5b - 25
16b - 5b = -25 - 80
11b = -105
b = -105/11
b = -9.54 km/hr
Since speed cannot be negative, we take the positive value:
Speed of the boat, b = 9.54 km/hr
Therefore, the correct answer is option 'D' - 9.54 km/hr.
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A boat takes three and one fifth of time taken by it to go downstream while coming in upstream. If speed of current is 5 km /hr. find the speed of boat.a)6 km/hrb)9 km/hrc)5.94 km/hrd)9.54 km/hrCorrect answer is option 'D'. Can you explain this answer?
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A boat takes three and one fifth of time taken by it to go downstream while coming in upstream. If speed of current is 5 km /hr. find the speed of boat.a)6 km/hrb)9 km/hrc)5.94 km/hrd)9.54 km/hrCorrect answer is option 'D'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about A boat takes three and one fifth of time taken by it to go downstream while coming in upstream. If speed of current is 5 km /hr. find the speed of boat.a)6 km/hrb)9 km/hrc)5.94 km/hrd)9.54 km/hrCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A boat takes three and one fifth of time taken by it to go downstream while coming in upstream. If speed of current is 5 km /hr. find the speed of boat.a)6 km/hrb)9 km/hrc)5.94 km/hrd)9.54 km/hrCorrect answer is option 'D'. Can you explain this answer?.
A boat takes three and one fifth of time taken by it to go downstream while coming in upstream. If speed of current is 5 km /hr. find the speed of boat.a)6 km/hrb)9 km/hrc)5.94 km/hrd)9.54 km/hrCorrect answer is option 'D'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about A boat takes three and one fifth of time taken by it to go downstream while coming in upstream. If speed of current is 5 km /hr. find the speed of boat.a)6 km/hrb)9 km/hrc)5.94 km/hrd)9.54 km/hrCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A boat takes three and one fifth of time taken by it to go downstream while coming in upstream. If speed of current is 5 km /hr. find the speed of boat.a)6 km/hrb)9 km/hrc)5.94 km/hrd)9.54 km/hrCorrect answer is option 'D'. Can you explain this answer?.
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A boat takes three and one fifth of time taken by it to go downstream while coming in upstream. If speed of current is 5 km /hr. find the speed of boat.a)6 km/hrb)9 km/hrc)5.94 km/hrd)9.54 km/hrCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for A boat takes three and one fifth of time taken by it to go downstream while coming in upstream. If speed of current is 5 km /hr. find the speed of boat.a)6 km/hrb)9 km/hrc)5.94 km/hrd)9.54 km/hrCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of A boat takes three and one fifth of time taken by it to go downstream while coming in upstream. If speed of current is 5 km /hr. find the speed of boat.a)6 km/hrb)9 km/hrc)5.94 km/hrd)9.54 km/hrCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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