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Question Number 139825 by mathdave last updated on 01/May/21

Commented by mr W last updated on 01/May/21

rate of changing of distance is the  sum of the speeds of the cars:  case 1:  −(50+40)=−90 km/h if A was to  the north of B. the distance decreases.    case 2:  (50+40)=90 km/h if A was to  the south of B. the distance increases.

$${rate}\:{of}\:{changing}\:{of}\:{distance}\:{is}\:{the} \\ $$$${sum}\:{of}\:{the}\:{speeds}\:{of}\:{the}\:{cars}: \\ $$$${case}\:\mathrm{1}: \\ $$$$−\left(\mathrm{50}+\mathrm{40}\right)=−\mathrm{90}\:{km}/{h}\:{if}\:{A}\:{was}\:{to} \\ $$$${the}\:{north}\:{of}\:{B}.\:{the}\:{distance}\:{decreases}. \\ $$$$ \\ $$$${case}\:\mathrm{2}: \\ $$$$\left(\mathrm{50}+\mathrm{40}\right)=\mathrm{90}\:{km}/{h}\:{if}\:{A}\:{was}\:{to} \\ $$$${the}\:{south}\:{of}\:{B}.\:{the}\:{distance}\:{increases}. \\ $$

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