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Question Number 43574 by pieroo last updated on 12/Sep/18

Two cyclists Musa and Amadu left point p at the   same time in opposite directions. If their speeds are  8 km/h and12 km/h respectively;   i. how will it take them to be 40 km apart?  ii. calculate the distance covered by Musa within  the time in (i)

$$\mathrm{Two}\:\mathrm{cyclists}\:\mathrm{Musa}\:\mathrm{and}\:\mathrm{Amadu}\:\mathrm{left}\:\mathrm{point}\:\mathrm{p}\:\mathrm{at}\:\mathrm{the}\: \\ $$$$\mathrm{same}\:\mathrm{time}\:\mathrm{in}\:\mathrm{opposite}\:\mathrm{directions}.\:\mathrm{If}\:\mathrm{their}\:\mathrm{speeds}\:\mathrm{are} \\ $$$$\mathrm{8}\:\mathrm{km}/\mathrm{h}\:\mathrm{and12}\:\mathrm{km}/\mathrm{h}\:\mathrm{respectively};\: \\ $$$$\mathrm{i}.\:\mathrm{how}\:\mathrm{will}\:\mathrm{it}\:\mathrm{take}\:\mathrm{them}\:\mathrm{to}\:\mathrm{be}\:\mathrm{40}\:\mathrm{km}\:\mathrm{apart}? \\ $$$$\mathrm{ii}.\:\mathrm{calculate}\:\mathrm{the}\:\mathrm{distance}\:\mathrm{covered}\:\mathrm{by}\:\mathrm{Musa}\:\mathrm{within} \\ $$$$\mathrm{the}\:\mathrm{time}\:\mathrm{in}\:\left(\mathrm{i}\right) \\ $$

Answered by $@ty@m last updated on 12/Sep/18

(i) Time=((Distance)/(Speed))                     =((40)/(8+12))=2 hrs.  (ii) D=T×S               =2×8=16 km

$$\left({i}\right)\:{Time}=\frac{{Distance}}{{Speed}} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:=\frac{\mathrm{40}}{\mathrm{8}+\mathrm{12}}=\mathrm{2}\:{hrs}. \\ $$$$\left({ii}\right)\:{D}={T}×{S} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:=\mathrm{2}×\mathrm{8}=\mathrm{16}\:{km} \\ $$

Commented by pieroo last updated on 13/Sep/18

thanks sir

$$\mathrm{thanks}\:\mathrm{sir} \\ $$

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