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16. Bir shahardan bir vaqtda qarama-qarshi tomonga qarab ikki piyoda yo'lga chiqdi. Piyodalarning tezligi soatiga 9 km va 5 km bo'lsa, 4 soatdan keyin ular orasidagi masofa necha km bo'ladi? \( \begin{array}{llll}\text { A) } 36 & \text { B) } 54 & \text { C) } 56 & \text { D) } 48\end{array} \)

Ask by Mann Barrett. in Uzbekistan
Dec 03,2024

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4 soatdan keyin ular orasidagi masofa 56 km bo'ladi.

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Ikkita piyoda bir-biriga qarama-qarshi tomonga harakatlanmoqda. Ularning tezliklari quyidagicha: - Birinchi piyoda: 9 km/soat - Ikkinchi piyoda: 5 km/soat Ular 4 soat davomida harakatlanadi. Har bir piyoda harakatlangan masofani hisoblaymiz: 1. Birinchi piyoda 4 soat davomida: \[ \text{Masofa} = \text{Tezlik} \times \text{Vaqt} = 9 \, \text{km/soat} \times 4 \, \text{soat} = 36 \, \text{km} \] 2. Ikkinchi piyoda 4 soat davomida: \[ \text{Masofa} = \text{Tezlik} \times \text{Vaqt} = 5 \, \text{km/soat} \times 4 \, \text{soat} = 20 \, \text{km} \] Endi, ikkala piyoda orasidagi masofani topamiz. Ular bir-biriga qarama-qarshi harakatlanayotganligi sababli, ularning masofalari qo'shiladi: \[ \text{Umumiy masofa} = 36 \, \text{km} + 20 \, \text{km} = 56 \, \text{km} \] Shunday qilib, 4 soatdan keyin ular orasidagi masofa 56 km bo'ladi. Javob: \( \text{C) } 56 \)

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Bir piyoda soatiga 9 km tezlikda, ikkinchisi esa soatiga 5 km tezlikda boradi. Har ikki piyoda qarama-qarshi tomonga yo'l olganligi uchun, birinchisi 4 soat davomida 9 km/saat * 4 soat = 36 km, ikkinchisi esa 5 km/saat * 4 soat = 20 km masofani bosib o'tadi. Ular orasidagi umumiy masofa 36 km + 20 km = 56 km bo'ladi. Toʻgʻri javob C) 56. Ushbu muammo, masofa, tezlik va vaqt formulasining amaliy qo'llanishini ko'rsatadi. Har bir piyoda o'z yo'lini davom ettirayotganda, ularning harakati bir-birini yaxshilab ko'rish uchun masofani hisobga olishga yordam beradi. Shunday qilib, bu usul transport yoki sport faoliyatida juda foydali bo'lishi mumkin, chunki masofa va tezlikni to'g'ri baholash sizga talabga javob berishga imkon beradi.

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