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how to solve this river boat problem provided in the attachment?

how to solve this river boat problem provided in the attachment?

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Grade:12th pass

2 Answers

Saurabh Koranglekar
askIITians Faculty 10335 Points
4 years ago
X be speed of boat
y be speed of river

X+y = d / 30

X-y = d/ 60

2x = d/20

X = d / 40

Or 40 min

Regards
Rishav Ranjan
38 Points
4 years ago
Let s1 be the speed of boat in still water and s2 be the speed of the river.Let D be the distance covered by the boat.So, D/(s1+s2) =1800 (1)D/(s1-s2) =3600. (2)Solving the equation we have, s1=3s2D=1800(s1+s1/3). (because from above equation s2= s1/3)D=2400s1So, Time taken by boat to cover distance D in still water=D/s1 = 2400/s1= 2400seconds = 40 minutes

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