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Calculate the local time of Malindi town in Kenya which is located at longitude 40° East if it is 3:00pm at Tunis in Tunisia which is located at longitude 10° East.

Mathematics

ScanSolve AI Answer

Answer

5:00 PM\text{5:00 PM}

Step-by-step solution

3 steps

Huu hapa ni mchakato wa kukokotoa saa za Malindi:

  1. Tafuta tofauti ya longitudo kati ya Malindi na Tunis.

    Kwa kuwa miji yote miwili iko upande wa Mashariki, tunatoa longitudo ndogo kutoka kwa kubwa.

    Tofauti ya longitudo=40∘ Mashariki−10∘ Mashariki\text{Tofauti ya longitudo} = 40^\circ \text{ Mashariki} - 10^\circ \text{ Mashariki} Tofauti ya longitudo=30∘\text{Tofauti ya longitudo} = 30^\circ
  2. Badilisha tofauti ya longitudo kuwa tofauti ya saa.

    Tunajua kuwa 1∘1^\circ ya longitudo ni sawa na dakika 4 za saa.

    Tofauti ya saa=30∘×4 dakika/digrii\text{Tofauti ya saa} = 30^\circ \times 4 \text{ dakika/digrii} Tofauti ya saa=120 dakika\text{Tofauti ya saa} = 120 \text{ dakika}

    Kubadilisha dakika kuwa masaa:

    Tofauti ya saa=120 dakika60 dakika/saa\text{Tofauti ya saa} = \frac{120 \text{ dakika}}{60 \text{ dakika/saa}} Tofauti ya saa=2 masaa\text{Tofauti ya saa} = 2 \text{ masaa}
  3. Kokotoa saa za Malindi.

    Malindi iko Mashariki zaidi kuliko Tunis, kwa hivyo saa za Malindi zitakuwa mbele ya saa za Tunis.
    Saa za Tunis ni 3:00 PM.

    Saa za Malindi=Saa za Tunis+Tofauti ya saa\text{Saa za Malindi} = \text{Saa za Tunis} + \text{Tofauti ya saa} Saa za Malindi=3:00 PM+2 masaa\text{Saa za Malindi} = 3:00 \text{ PM} + 2 \text{ masaa} Saa za Malindi=5:00 PM\text{Saa za Malindi} = 5:00 \text{ PM}

    Saa za Malindi ni:

    5:00 PM\text{5:00 PM}
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