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| 1. |
A boat goes 30 km |
| Answer» Let the speed of boat is x km/h in still water and stream y km/hAccording to question,{tex}\\frac{{30}}{{x - y}} + \\frac{{44}}{{x + y}} = 10{/tex}and {tex}\\frac{{40}}{{x - y}} + \\frac{{55}}{{x + y}} = 13{/tex}Let\xa0{tex}\\frac{1}{{x - y}} = u{/tex} and {tex}\\frac{1}{{x + y}} = v{/tex}30u + 44v = 10 ...(i)40u + 55v = 13 ....(ii)on solving eq. (i) and (ii) we get,{tex}u = \\frac{1}{5} \\Rightarrow x - y = 5{/tex} ....(iii){tex}v = \\frac{1}{{11}} \\Rightarrow x + y = 11{/tex} ....(iv)On solving eq. (iii) and (iv) we get,x = 8km/hy = 3km/h | |