Question and Answers Forum

All Questions      Topic List

Others Questions

Previous in All Question      Next in All Question      

Previous in Others      Next in Others      

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

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 from first car towards the other and is moving with the speed of 36 km/h and when the two cars were separated by 36 km. What is the total displacement of the bird?

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

Answered by mrW1 last updated on 09/Jul/17

((36)/(27+18))×36=28.8 km

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

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

It is the total distance, not displacement.

$$\mathrm{It}\:\mathrm{is}\:\mathrm{the}\:\mathrm{total}\:\mathrm{distance},\:\mathrm{not}\:\mathrm{displacement}. \\ $$

Commented by mrW1 last updated on 09/Jul/17

displacement = ((36)/(27+18))×18=14.4 km

$$\mathrm{displacement}\:=\:\frac{\mathrm{36}}{\mathrm{27}+\mathrm{18}}×\mathrm{18}=\mathrm{14}.\mathrm{4}\:\mathrm{km} \\ $$

Commented by Tinkutara last updated on 09/Jul/17

Yes, Thanks Sir!

$$\mathrm{Yes},\:\mathrm{Thanks}\:\mathrm{Sir}! \\ $$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com