kojo-can-do-a-piece-of-work-in-5hours-Edina-can-do-the-same-work-in-4hours-how-long-will-it-take-the-two-of-them-to-do-the-same-work-together-if-they-work-at-the-same-rate-

Question Number 176270 by otchereabdullai@gmail.com last updated on 15/Sep/22

$$\:\mathrm{kojo}\:\mathrm{can}\:\mathrm{do}\:\mathrm{a}\:\mathrm{piece}\:\mathrm{of}\:\mathrm{work}\:\mathrm{in}\:\mathrm{5hours} \\ $$$$\:\mathrm{Edina}\:\mathrm{can}\:\mathrm{do}\:\mathrm{the}\:\mathrm{same}\:\mathrm{work}\:\mathrm{in}\: \\ $$$$\:\mathrm{4hours}.\:\mathrm{how}\:\mathrm{long}\:\mathrm{will}\:\mathrm{it}\:\mathrm{take}\:\mathrm{the}\:\mathrm{two} \\ $$$$\:\mathrm{of}\:\mathrm{them}\:\mathrm{to}\:\mathrm{do}\:\mathrm{the}\:\mathrm{same}\:\mathrm{work}\:\mathrm{together} \\ $$$$\mathrm{if}\:\mathrm{they}\:\mathrm{work}\:\mathrm{at}\:\mathrm{the}\:\mathrm{same}\:\mathrm{rate} \\ $$$$ \\ $$

Commented by mr W last updated on 15/Sep/22

$${kojo}\:{does}\:\frac{\mathrm{1}}{\mathrm{5}}\:{in}\:{a}\:{hour}. \\ $$$${edina}\:{does}\:\frac{\mathrm{1}}{\mathrm{4}}\:{in}\:{a}\:{hour}. \\ $$$${together}\:{they}\:{do}\:\frac{\mathrm{1}}{\mathrm{5}}+\frac{\mathrm{1}}{\mathrm{4}}\:{in}\:{a}\:{hour}, \\ $$$${they}\:{need}\:\frac{\mathrm{1}}{\frac{\mathrm{1}}{\mathrm{5}}+\frac{\mathrm{1}}{\mathrm{4}}}=\frac{\mathrm{20}}{\mathrm{9}}\approx\mathrm{2}.\mathrm{2}\:{hours} \\ $$

Commented by otchereabdullai@gmail.com last updated on 15/Sep/22

$$\mathrm{God}\:\mathrm{bless}\:\mathrm{you}\:\mathrm{profW} \\ $$

Commented by Tawa11 last updated on 18/Sep/22

$$\mathrm{Great}\:\mathrm{sir} \\ $$

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