Question Number 121123 by Study last updated on 05/Nov/20
$${two}\:{cars}\:{moving}\:{at}\:{speed}\:{of}\:\mathrm{10}\frac{{m}}{{sec}}\:{and}\: \\ $$$$\mathrm{16}\frac{{m}}{{sec}}\:{on}\:{a}\:{road}\:{with}\:{a}\:{length}\:{of}\:\mathrm{200}{m} \\ $$$${against}\:{each}\:{other}\:{so}\:{how}\:{long}\:{will} \\ $$$${it}\:{take}\:{them}\:{to}\:{reach}\:{each}\:{other}? \\ $$
Answered by MJS_new last updated on 05/Nov/20
$$\mathrm{the}\:\mathrm{2}\:\mathrm{speeds}\:\mathrm{add}\:\mathrm{up}. \\ $$$$\frac{\mathrm{200}{m}}{\mathrm{26}\frac{{m}}{{s}}}=\frac{\mathrm{100}}{\mathrm{13}}{s} \\ $$
Commented by Study last updated on 05/Nov/20
$${why}?\:{add} \\ $$
Commented by MJS_new last updated on 05/Nov/20
$$\mathrm{if}\:\mathrm{I}\:\mathrm{take}\:\mathrm{1}\:\mathrm{step}\:\mathrm{in}\:\mathrm{your}\:\mathrm{direction}\:\mathrm{and}\:\mathrm{at}\:\mathrm{the} \\ $$$$\mathrm{same}\:\mathrm{time}\:\mathrm{you}\:\mathrm{take}\:\mathrm{one}\:\mathrm{step}\:\mathrm{in}\:\mathrm{my}\:\mathrm{direction} \\ $$$$\mathrm{then}\:\mathrm{how}\:\mathrm{many}\:\mathrm{steps}\:\mathrm{are}\:\mathrm{we}\:\mathrm{closer}\:\mathrm{than} \\ $$$$\mathrm{before}? \\ $$
Commented by Study last updated on 05/Nov/20
$${is}\:{has}\:{a}\:{formolla}? \\ $$
Commented by MJS_new last updated on 05/Nov/20
$$\mathrm{you}\:\mathrm{need}\:\mathrm{no}\:\mathrm{formula}.\:\mathrm{obviously}\:\mathrm{if}\:\mathrm{the}\:\mathrm{first} \\ $$$$\mathrm{car}\:\mathrm{drives}\:\mathrm{with}\:\mathrm{speed}\:{v}_{\mathrm{1}} \:\mathrm{and}\:\mathrm{the}\:\mathrm{second}\:\mathrm{car} \\ $$$$\mathrm{with}\:\mathrm{speed}\:{v}_{\mathrm{2}} \:\mathrm{then}\:\mathrm{they}\:\mathrm{approach}\:\mathrm{each}\:\mathrm{other} \\ $$$$\mathrm{with}\:\mathrm{speed}\:{v}_{\mathrm{1}} +{v}_{\mathrm{2}} \\ $$