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Boat and Stream: Upstream Time Calculation

Maatrappatta indha speed-il boat upstream-aaga sella evvalavu neram edukkum? Idhai nam Bank-exam rough-work Distance-Speed-Time table-il ovvoru...

Prompt

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Time taken by the Boat to travel (3K – 60) km downstream distance with speed of 20 km/h is the same as to travel (1.5K + 60) km with speed of 16 km/h. Find the time taken by boat to travel to travel (2k + 64) km upstream distance, if the speed of boat in still water reduced by 1/3rd of its original, and speed of stream becomes twice of its original. Explain this question in detail way in tamil language. Use English terms wherever needed. This explain is for aspirants those who are preparing for bank exams, whose age group will be around 22 to 28 years. Explain the basic formulas involved in this questions before explain it.

Narration

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Video narration

Maatrappatta indha speed-il boat upstream-aaga sella evvalavu neram edukkum? Idhai nam Bank-exam rough-work Distance-Speed-Time table-il ovvoru line-aaga nirappip paarppom. Mudhalil moondru basic formulas ninaivil vaiththukollungal. Time = Distance / Speed. Downstream speed enbathu still-water-il boat speed plus stream speed. Upstream speed enbathu still-water-il boat speed minus stream speed. Kodukkappatta equal-time condition-ai table-il ippadi ezhuthalaam: (3K - 60) / 20 = (1.5K + 60) / 16. Irandu nerangalum equal enbadhaal cross multiplication seygiroam. Adhaavathu, 16(3K - 60) = 20(1.5K + 60). Ippodhu, 48K - 960 = 30K + 1200. Enave, 18K = 2160; K = 120. Aduththa row-il distances-ai nirappungal. 3K - 60 enbathu 360 - 60, adhanaal 300 km. 1.5K + 60 enbathu 180 + 60, adhanaal 240 km. Ingedhaan mukkiyamaana turn. Question-il direction velippadaiyaaga sollappadavillai. Standard interpretation-aaga, 20 km/h original Downstream speed endrum, 16 km/h original Upstream speed endrum eduththukkolgiroam. Appodhudhaan irandu speeds-ai thaniththaniyaaga kandupidikka mudiyum. Still-water speed = (20 + 16) / 2 = 18 km/h. Stream speed = (20 - 16) / 2 = 2 km/h. Ippodhu maatram. Boat speed one-third kuraigiradhu endraal, 18-il one-third mattum meedham alla; original-in two-thirds meedham. Aagaave pudhiya still-water speed = 18 x 2/3 = 12 km/h. Stream speed twice aagiradhu, enave 2 x 2 = 4 km/h. Pudhiya Upstream speed = 12 - 4 = 8 km/h. Required distance = 2K + 64 = 2(120) + 64 = 304 km. Table-in irudhi row: Time = 304 / 8 = 38 hours. 16 km/h Upstream speed endra assumption illaiyenil data podhaadhu. Andha standard interpretation-il, maatrappatta speed-il boat 304 km upstream sella edukkum neram 38 hours.