A-bird-is-tossing-flying-to-and-fro-between-two-cars-moving-towards-each-other-on-a-straight-road-One-car-has-a-speed-of-18-km-h-while-the-other-has-the-speed-of-27-km-h-The-bird-starts-moving-fro

Question Number 17689 by Tinkutara last updated on 09/Jul/17

$$\mathrm{A}\:\mathrm{bird}\:\mathrm{is}\:\mathrm{tossing}\:\left(\mathrm{flying}\:\mathrm{to}\:\mathrm{and}\:\mathrm{fro}\right) \\ $$$$\mathrm{between}\:\mathrm{two}\:\mathrm{cars}\:\mathrm{moving}\:\mathrm{towards} \\ $$$$\mathrm{each}\:\mathrm{other}\:\mathrm{on}\:\mathrm{a}\:\mathrm{straight}\:\mathrm{road}.\:\mathrm{One}\:\mathrm{car} \\ $$$$\mathrm{has}\:\mathrm{a}\:\mathrm{speed}\:\mathrm{of}\:\mathrm{18}\:\mathrm{km}/\mathrm{h}\:\mathrm{while}\:\mathrm{the}\:\mathrm{other} \\ $$$$\mathrm{has}\:\mathrm{the}\:\mathrm{speed}\:\mathrm{of}\:\mathrm{27}\:\mathrm{km}/\mathrm{h}.\:\mathrm{The}\:\mathrm{bird} \\ $$$$\mathrm{starts}\:\mathrm{moving}\:\mathrm{from}\:\mathrm{first}\:\mathrm{car}\:\mathrm{towards} \\ $$$$\mathrm{the}\:\mathrm{other}\:\mathrm{and}\:\mathrm{is}\:\mathrm{moving}\:\mathrm{with}\:\mathrm{the}\:\mathrm{speed} \\ $$$$\mathrm{of}\:\mathrm{36}\:\mathrm{km}/\mathrm{h}\:\mathrm{and}\:\mathrm{when}\:\mathrm{the}\:\mathrm{two}\:\mathrm{cars}\:\mathrm{were} \\ $$$$\mathrm{separated}\:\mathrm{by}\:\mathrm{36}\:\mathrm{km}.\:\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{total} \\ $$$$\mathrm{displacement}\:\mathrm{of}\:\mathrm{the}\:\mathrm{bird}? \\ $$

Answered by mrW1 last updated on 09/Jul/17

$$\frac{\mathrm{36}}{\mathrm{27}+\mathrm{18}}×\mathrm{36}=\mathrm{28}.\mathrm{8}\:\mathrm{km} \\ $$

Commented by mrW1 last updated on 09/Jul/17

I misread the question. The cars move towards each other, not in the same direction as I understood. The answer is corrected.

$$\mathrm{I}\:\mathrm{misread}\:\mathrm{the}\:\mathrm{question}.\:\mathrm{The}\:\mathrm{cars}\:\mathrm{move} \\ $$$$\mathrm{towards}\:\mathrm{each}\:\mathrm{other},\:\mathrm{not}\:\mathrm{in}\:\mathrm{the}\:\mathrm{same} \\ $$$$\mathrm{direction}\:\mathrm{as}\:\mathrm{I}\:\mathrm{understood}.\:\mathrm{The}\:\mathrm{answer} \\ $$$$\mathrm{is}\:\mathrm{corrected}. \\ $$

Commented by Tinkutara last updated on 09/Jul/17