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A beautiful lady was going with her husband on a yacht. She was going at a speed of 50 km/hr along with the current. After returning to a yacht she observed, speed of the yacht was reduced by 6 km/hr on returning. how much time a yacht will take to return on starting point if distance travelled by a yacht during upstream was 300 km and during downstream was 500 km?1. \(16\frac{9}{{11}}\;hr\)2. 16 hr3. 15.2 hr4. 16.66 hr5. 18 hr |
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Answer» Correct Answer - Option 1 : \(16\frac{9}{{11}}\;hr\) Given: Speed of a yacht along with the current = 50 km/hr Reduced speed = 6 km/hr Distance traveled during upstream = 300 km Distance traveled during downstream = 500 km Formula used: \({\rm{Time\;taken\;to\;return\;on\;starting\;point}} = {\rm{\;}}\frac{{{\rm{distance\;traveled\;during\;upstream\;}}}}{{{\rm{speed\;of\;upstream}}}}\; + \;\frac{{{\rm{distance\;traveled\;in\;downstream}}}}{{{\rm{speed\;of\;downstream}}}}\) Calculation: Speed of a yacht, upstream = speed of a yacht along with the current – reduction in speed ⇒ 50 – 6 ⇒ 44 km/hr Time taken to return on starting point = (300/44) + (500/50) ⇒ (75/11) + 10 ⇒ 185/11 ⇒ \(16\frac{9}{{11}}\;hr\) Hence, the time taken to return to the starting point is \(16\frac{9}{{11}}\;hr\). |
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