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Question Number 27436 by NECx last updated on 06/Jan/18

Car A is moving at a speed of   45km/h towards car B which is  moving towards car A at a speed   of 55km/h.If the two cars where  initially seperated at a distance  of 150m.Determine how long it   will take the two cars to meet.

$${Car}\:{A}\:{is}\:{moving}\:{at}\:{a}\:{speed}\:{of}\: \\ $$$$\mathrm{45}{km}/{h}\:{towards}\:{car}\:{B}\:{which}\:{is} \\ $$$${moving}\:{towards}\:{car}\:{A}\:{at}\:{a}\:{speed}\: \\ $$$${of}\:\mathrm{55}{km}/{h}.{If}\:{the}\:{two}\:{cars}\:{where} \\ $$$${initially}\:{seperated}\:{at}\:{a}\:{distance} \\ $$$${of}\:\mathrm{150}{m}.{Determine}\:{how}\:{long}\:{it}\: \\ $$$${will}\:{take}\:{the}\:{two}\:{cars}\:{to}\:{meet}. \\ $$

Commented by Rasheed.Sindhi last updated on 07/Jan/18

150m or 150km?

$$\mathrm{150}{m}\:\mathrm{or}\:\mathrm{150}{km}? \\ $$

Answered by Rasheed.Sindhi last updated on 07/Jan/18

The distance is covered by (45+55)km/h  =100 km/h   (((Hours                ),(Kms)),((       1),(  100)),((        x),(   150)) )         x=((150)/(100))=1(1/2) hours

$$\mathrm{The}\:\mathrm{distance}\:\mathrm{is}\:\mathrm{covered}\:\mathrm{by}\:\left(\mathrm{45}+\mathrm{55}\right)\mathrm{km}/\mathrm{h} \\ $$$$=\mathrm{100}\:\mathrm{km}/\mathrm{h} \\ $$$$\begin{pmatrix}{\mathrm{Hours}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:}&{\mathrm{Kms}}\\{\:\:\:\:\:\:\:\mathrm{1}}&{\:\:\mathrm{100}}\\{\:\:\:\:\:\:\:\:\mathrm{x}}&{\:\:\:\mathrm{150}}\end{pmatrix} \\ $$$$\:\:\:\:\:\:\:\mathrm{x}=\frac{\mathrm{150}}{\mathrm{100}}=\mathrm{1}\frac{\mathrm{1}}{\mathrm{2}}\:\mathrm{hours} \\ $$

Commented by Arya last updated on 07/Jan/18

the unit is hour

$${the}\:{unit}\:{is}\:{hour}\: \\ $$

Commented by Rasheed.Sindhi last updated on 07/Jan/18

Thanks Arya! Corrected now.

$$\mathrm{Thanks}\:\mathrm{Arya}!\:\mathrm{Corrected}\:\mathrm{now}. \\ $$

Commented by NECx last updated on 07/Jan/18

thanks . I really appreciate.

$${thanks}\:.\:{I}\:{really}\:{appreciate}. \\ $$

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