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How long would it take the car to travel 300 km at the same speed? (2 marks)

Mathematics

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Answer

3.75 hours3.75 \text{ hours}

6.25 days6.25 \text{ days}

Step-by-step solution

5 steps

Hapa kuna suluhisho la maswali yako:

31. (Inaendelea kutoka swali lililopita)

c)

  1. Tumia formula ya muda

    Muda = Umbali / Kasi.
    Umbali = 300 km300 \text{ km}
    Kasi (kutoka 31a) = 80 km/h80 \text{ km/h}

  2. Kokotoa muda.

    Muda=300 km80 km/h\text{Muda} = \frac{300 \text{ km}}{80 \text{ km/h}} Muda=308 h\text{Muda} = \frac{30}{8} \text{ h} Muda=3.75 h\text{Muda} = 3.75 \text{ h}

    Itachukua gari 3.75 hours\boxed{3.75 \text{ hours}} kusafiri 300 km300 \text{ km}.

    32.

  3. Tambua uhusiano kati ya idadi ya wanaume na siku.

    Hili ni tatizo la uwiano usio wa moja kwa moja (inverse proportion), ambapo idadi ya wanaume ikiongezeka, idadi ya siku inapungua.
    Wanaume wa kwanza (M1M_1) = 5
    Siku za kwanza (D1D_1) = 10
    Wanaume wapya (M2M_2) = 8
    Siku mpya (D2D_2) = ?

  4. Tumia formula ya uwiano usio wa moja kwa moja

    M1×D1=M2×D2M_1 \times D_1 = M_2 \times D_2.

    5 men×10 days=8 men×D2 days5 \text{ men} \times 10 \text{ days} = 8 \text{ men} \times D_2 \text{ days} 50=8×D250 = 8 \times D_2
  5. Tatua kwa D2D_2.

    D2=508D_2 = \frac{50}{8} D2=254D_2 = \frac{25}{4} D2=6.25 daysD_2 = 6.25 \text{ days}

    Itachukua wanaume 8 6.25 days\boxed{6.25 \text{ days}} kuchimba mtaro huo.

    33.
    Swali hili linatoa matrisi A na B lakini halijauliza operesheni yoyote mahususi (kama vile kujumlisha, kutoa, kuzidisha, au kutafuta kigezo). Kwa hivyo, siwezi kutoa jibu kamili bila maelezo zaidi ya kile kinachohitajika.

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