The speed of a motor-boat is that of the current of water as 36:5. the boat goes along with the current in 5 hours 10 minutes. it will come back in
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if we say the speed of the motor boat = 36 kmph and speed of current = 5x kmph.
Then boat goes along with the current in 5 hours 10 minutes = 31/6 hour;
Hence,
distance = time*speed
= (31/6)*(36x+5x) = (41x+31)/6 km.
speed of the boat in upstream = 36x-5x = 31x kmph
Hence, time taken to come back = [ (41x*(31/6)) / 31x ]
= 41/6 hours
= 6 hours 50 minutes.
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Then boat goes along with the current in 5 hours 10 minutes = 31/6 hour;
Hence,
distance = time*speed
= (31/6)*(36x+5x) = (41x+31)/6 km.
speed of the boat in upstream = 36x-5x = 31x kmph
Hence, time taken to come back = [ (41x*(31/6)) / 31x ]
= 41/6 hours
= 6 hours 50 minutes.
Hope this helped if you still have doubts or more questions to ask then get them solved by Expert Online Math Tutors
https://tutstu.com/tutors/Math/sub/18/
get solutions for free in a Free Trial Class. All you need to do is Register https://user.tutstu.com/student-login-register.
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