Question Number 94457 by MJS last updated on 18/May/20
$${a}\:{practical}\:{example} \\ $$$$\mathrm{1}\:\mathrm{construction}\:\mathrm{worker}\:\mathrm{can}\:\mathrm{excavate}\:\mathrm{a} \\ $$$$\mathrm{pit}\:\mathrm{in}\:\mathrm{3}\:\mathrm{hours}.\:\mathrm{how}\:\mathrm{long}\:\mathrm{will}\:\mathrm{it}\:\mathrm{take}\:\mathrm{3} \\ $$$$\mathrm{workers}\:\mathrm{to}\:\mathrm{do}\:\mathrm{this}\:\mathrm{job}? \\ $$
Answered by MJS last updated on 18/May/20
$$\mathrm{the}\:\mathrm{whole}\:\mathrm{day}\:\mathrm{at}\:\mathrm{least} \\ $$$$\mathrm{the}\:\mathrm{first}\:\mathrm{worker}\:\mathrm{starts}\:\mathrm{to}\:\mathrm{dig} \\ $$$$\mathrm{the}\:\mathrm{second}\:\mathrm{worker}\:\mathrm{helps}\:\mathrm{with}\:\mathrm{good}\:\mathrm{advice} \\ $$$$\mathrm{and}\:\mathrm{waits}\:\mathrm{for}\:\mathrm{the}\:\mathrm{third}\:\mathrm{one}\:\mathrm{to}\:\mathrm{return} \\ $$$$\mathrm{the}\:\mathrm{third}\:\mathrm{worker}\:\mathrm{left}\:\mathrm{to}\:\mathrm{buy}\:\mathrm{a}\:\mathrm{crate}\:\mathrm{of}\:\mathrm{beer}... \\ $$
Commented by PRITHWISH SEN 2 last updated on 19/May/20
$$\mathrm{ha}\:\mathrm{ha}\:..... \\ $$
Commented by mr W last updated on 19/May/20
$${the}\:{formula}\:{is}: \\ $$$${if}\:{one}\:{worker}\:{can}\:{do}\:{a}\:{job}\:{in}\:{m}\:{hours}, \\ $$$${then}\:{the}\:{same}\:{job}\:{can}\:{be}\:{done}\:{by}\:{n} \\ $$$${workers}\:{in}\: \\ $$$${mn}^{{n}−\mathrm{1}} \:{hours} \\ $$
Commented by i jagooll last updated on 19/May/20
$$\mathrm{example} \\ $$$$\mathrm{1}\:\mathrm{worker}\:\Rightarrow\mathrm{4}\:\mathrm{hour} \\ $$$$\mathrm{5}\:\mathrm{worker}\:\Rightarrow\:\mathrm{4}×\mathrm{5}^{\mathrm{5}−\mathrm{1}} \:\mathrm{hour}\:\mathrm{sir}? \\ $$$$ \\ $$
Commented by mr W last updated on 19/May/20
$${that}\:{means},\:{if}\:\mathrm{5}\:{or}\:{more}\:{workers}\:{do}\:{a} \\ $$$${job}\:{together},\:{practically}\:{seen},\:{they}\:{will} \\ $$$${never}\:{finish}. \\ $$
Commented by i jagooll last updated on 19/May/20
$$\mathrm{ha}\:\mathrm{ha}\:\mathrm{ha}\:... \\ $$