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A motorcyclist left town X for Y. He rested at Y for half an hour and continued to Z, which is 80km away from Y, for 1½ hours. He rested at Z for one hour and returned at a speed of 70km/h. Complete the motorcyclist's journey.
Mathematics
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Step-by-step solution
3 stepsHuu hapa ni ufumbuzi wa swali lako:
Part a
Kamilisha safari ya mwendesha pikipiki.
Ili kukamilisha grafu, fuata hatua hizi:
- Kupumzika Y: Mwendesha pikipiki alifika Y saa 8:00 asubuhi (kilomita 60 kutoka X). Alipumzika kwa nusu saa. Hivyo, chora mstari ulionyooka mlalo kutoka (8:00 asubuhi, 60 km) hadi (8:30 asubuhi, 60 km).
- Kusafiri Y hadi Z: Aliondoka Y saa 8:30 asubuhi na kusafiri kilomita 80 hadi Z kwa saa .
- Umbali wa Z kutoka X ni .
- Muda wa kufika Z ni .
- Chora mstari kutoka (8:30 asubuhi, 60 km) hadi (10:00 asubuhi, 140 km).
- Kupumzika Z: Alipumzika Z kwa saa moja. Hivyo, chora mstari ulionyooka mlalo kutoka (10:00 asubuhi, 140 km) hadi (11:00 asubuhi, 140 km).
- Kurudi X: Aliondoka Z saa 11:00 asubuhi na kurudi X (kilomita 0) kwa kasi ya 70 km/h.
- Muda wa kurudi ni .
- Muda wa kufika X ni .
- Chora mstari kutoka (11:00 asubuhi, 140 km) hadi (1:00 mchana, 0 km).
Part b
Eleza muda mwendesha pikipiki aliondoka mji Y katika saa ya saa 24.
Pata muda aliofika Y na muda alipumzika.
Mwendesha pikipiki alifika Y saa 8:00 asubuhi.
Alipumzika kwa nusu saa (dakika 30).Kokotoa muda aliondoka Y.
Muda aliondoka Y ni .
Badilisha muda kuwa saa ya saa 24.
Katika saa ya saa 24, 8:30 asubuhi ni 08:30.
Muda mwendesha pikipiki aliondoka mji Y katika saa ya saa 24 ni:
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