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A motorist covered 10.8km in 45 minutes. Calculate his speed in kilometers per hour.

Mathematics

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Answer

24, 26, 28, 30, 32, 34

14.4 km/h14.4 \text{ km/h}

shs. 1,200,000\text{shs. } 1,200,000

Step-by-step solution

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Haya, tutasuluhisha maswali haya.

5. Form a sequence at which the farmer was planting his seedlings in 6 days.

  1. Tambua nambari ya kwanza ya mfuatano (a1a_1) na tofauti ya kawaida (dd).

    Mkulima alipanda miche 24 siku ya kwanza, hivyo a1=24a_1 = 24.
    Alipanda miche miwili zaidi kila siku kuliko siku iliyopita, hivyo d=2d = 2.

  2. Unda mfuatano wa siku 6 kwa kuongeza tofauti ya kawaida kwa kila neno.

    Siku 1: 24
    Siku 2: 24+2=2624 + 2 = 26
    Siku 3: 26+2=2826 + 2 = 28
    Siku 4: 28+2=3028 + 2 = 30
    Siku 5: 30+2=3230 + 2 = 32
    Siku 6: 32+2=3432 + 2 = 34
    Jibu la mwisho ni:

    24,26,28,30,32,34\boxed{24, 26, 28, 30, 32, 34}

    6. Calculate his speed in kilometers per hour.

  3. Badilisha muda kutoka dakika kwenda masaa.

    Kuna dakika 60 katika saa 1.

    45 dakika=4560 saa=0.75 saa45 \text{ dakika} = \frac{45}{60} \text{ saa} = 0.75 \text{ saa}
  4. Tumia fomula ya kasi, ambayo ni Kasi=UmbaliMuda\text{Kasi} = \frac{\text{Umbali}}{\text{Muda}}.

    Kasi=10.8 km0.75 saa\text{Kasi} = \frac{10.8 \text{ km}}{0.75 \text{ saa}}
  5. Fanya hesabu.

    Kasi=14.4 km/h\text{Kasi} = 14.4 \text{ km/h}

    Jibu la mwisho ni:

    14.4 km/h\boxed{14.4 \text{ km/h}}

    7. Find the original price of the phone.

  6. Tambua asilimia ya bei mpya.

    Bei ilipunguzwa kwa 25%, hivyo bei mpya ni 100%−25%=75%100\% - 25\% = 75\% ya bei halisi.

  7. Weka mlinganyo ambapo P0P_0 ni bei halisi.

    0.75×P0=shs. 900,0000.75 \times P_0 = \text{shs. } 900,000
  8. Gawanya bei mpya kwa asilimia ya bei mpya (kama desimali) ili kupata bei halisi.

    P0=shs. 900,0000.75P_0 = \frac{\text{shs. } 900,000}{0.75} P0=shs. 1,200,000P_0 = \text{shs. } 1,200,000

    Jibu la mwisho ni:

    shs. 1,200,000\boxed{\text{shs. } 1,200,000}
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