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Question Number 58668 by ajfour last updated on 27/Apr/19

Commented by ajfour last updated on 27/Apr/19

$$\mathrm{If}\mathrm{Cars}\mathrm{Blue}\mathrm{and}\mathrm{Pink}\mathrm{start}\mathrm{off}\mathrm{at}\mathrm{A}$$$$\mathrm{only}\mathrm{to}\mathrm{meet}\mathrm{again}\mathrm{in}\mathrm{the}\mathrm{closed}$$$$\mathrm{path}\mathrm{ABC}\mathrm{both}\mathrm{at}\mathrm{zero}\mathrm{speed}$$$$\mathrm{simultaneously}.\mathrm{Knowing}\mathrm{that}\mathrm{at}$$$$\mathrm{the}\mathrm{corners}\mathrm{the}\mathrm{speed}⩽10\mathrm{km}/\mathrm{h}$$$$\mathrm{and}\mathrm{if}\max \mathrm{acceleration}\mathrm{of}\mathrm{each}\mathrm{car}$$$$\mathrm{is}\left(20\mathrm{km}/\mathrm{h}\right)/\mathrm{s}\mathrm{then}\mathrm{find}\mathrm{the}\mathrm{shortest}$$$$\mathrm{time}\mathrm{in}\mathrm{which}\mathrm{they}\mathrm{can}\mathrm{meet}.$$$$\mathrm{Take}\mathrm{a}=3\mathrm{km},\mathrm{b}=5\mathrm{km},\mathrm{c}=4\mathrm{km}.$$

Commented by MJS last updated on 27/Apr/19

$$\mathrm{sorry}\mathrm{but}a+c=b\Rightarrow B\mathrm{lies}\mathrm{on}b?!$$

Commented by ajfour last updated on 27/Apr/19

$$\mathrm{yes},\mathrm{sir};\mathrm{i}\mathrm{dint}\mathrm{think}\mathrm{well},\mathrm{sorry}!$$

Commented by MJS last updated on 27/Apr/19

$$...\mathrm{there}\mathrm{could}\mathrm{have}\mathrm{been}\mathrm{curves}\mathrm{in}\mathrm{the}\mathrm{roads}...$$

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