A boat takes 3 hours more to row upstream than to row downstream for the same distance. If the difference between the squares of speeds of boat and stream is 60 (km/hr)2, then what can be the values of distance travelled in upstream and speed of stream?a)30 km, 2 km/hrb)40 km, 3 km/hrc)40 km, 2 km/hrd)45 km, 2 km/hre)45 km, 3 km/hrCorrect answer is option 'D'. Can you explain this answer?

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a)
30 km, 2 km/hr
b)
40 km, 3 km/hr
c)
40 km, 2 km/hr
d)
45 km, 2 km/hr
e)
45 km, 3 km/hr

Correct answer is option 'D'. Can you explain this answer?

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A boat takes 3 hours more to row upstream than to row downstream for ...

Let the speeds of boat and stream be 'b' and 'r' respectively.

Let the distance travelled upstream or downstream [ Both are same in this case] be 'd'.

Time taken to travel upstream

= d/(b-r) [ Time = Distance/speed, Speed is taken as b - r as the stream will oppose the boat during upstream journey]

Similarly, Time taken to travel downstream

= d/(b+r) [Speed is taken as b + r as the stream will aid the boat]

According to the condition,

d/(b-r) = [d/(b+r)]+3

⇒ d × [1/(b-r)-1/(b+r)] = 3

⇒ d × 2r/(b²-r²) = 3

⇒ 2rd = 3(b²-r²) = 3 × 60 = 180

⇒ rd = 90

Out of the given options, only (d)satisfies this equation.

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A boat takes 3 hours more to row upstream than to row downstream for the same distance. If the difference between the squares of speeds of boat and stream is 60 (km/hr)2, then what can be the values of distance travelled in upstream and speed of stream?a)30 km, 2 km/hrb)40 km, 3 km/hrc)40 km, 2 km/hrd)45 km, 2 km/hre)45 km, 3 km/hrCorrect answer is option 'D'. Can you explain this answer?

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A boat takes 3 hours more to row upstream than to row downstream for the same distance. If the difference between the squares of speeds of boat and stream is 60 (km/hr)2, then what can be the values of distance travelled in upstream and speed of stream?a)30 km, 2 km/hrb)40 km, 3 km/hrc)40 km, 2 km/hrd)45 km, 2 km/hre)45 km, 3 km/hrCorrect answer is option 'D'. Can you explain this answer? 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 takes 3 hours more to row upstream than to row downstream for the same distance. If the difference between the squares of speeds of boat and stream is 60 (km/hr)2, then what can be the values of distance travelled in upstream and speed of stream?a)30 km, 2 km/hrb)40 km, 3 km/hrc)40 km, 2 km/hrd)45 km, 2 km/hre)45 km, 3 km/hrCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A boat takes 3 hours more to row upstream than to row downstream for the same distance. If the difference between the squares of speeds of boat and stream is 60 (km/hr)2, then what can be the values of distance travelled in upstream and speed of stream?a)30 km, 2 km/hrb)40 km, 3 km/hrc)40 km, 2 km/hrd)45 km, 2 km/hre)45 km, 3 km/hrCorrect answer is option 'D'. Can you explain this answer?.

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