A man is boat intends to cross river from A. If he rows perpendicular to the banks then he takes t 1 = 10 minutes to reach the other bank and he reaches point C at a distance λ = 120 m down the stream from the point B which is exactly opposite to A on the other bank. If he heads at a certain angle α to the straight path AB against the current he will reach point B in t 2 = 12.5 minutes.
(i) The width of river is –
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Ans.
(i)
Sol. t 1 = 
and l = 
Also t 2 = 
where sin α = 
(ii)
Sol. t 1 = 
and l = 
Also t 2 = 
where sin α = 
(iii)
Sol. t 1 = 
and l = 
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