Question
A boat takes 7 hours to move 63 km downstream and 30 km
upstream. The boat takes 6 hours to move 28 km downstream and 48 km upstream. How much time will it take to move 35 km downstream and 27 km upstream?Solution
Let the Speed of the boat in still water B And Speed of Stream =S Let downstream speed be (B+ S) and upstream speed be (B - S) Now, 
By multiplying 8 with eq (i) and 5 with eq (ii) we get 
Subtracting eq (iv) from eq (iii) we get, 
B+S =364/26 B+S =14 Putting the of (u + v) in eq (ii) we get, 
B-S =12. Now, To move 35 km downstream and 27 km upstream time = 35/14 + 27/12 =2.5+ 2.25       =4.75 =4 hours 0.75×60 minutes. =4 hours 45 minutes.
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