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

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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

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

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