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Question Number 94753 by Kunal12588 last updated on 20/May/20

Answered by mr W last updated on 20/May/20

(a) on clock B:  25→125: ((125−25)/(290−125))×600=363(7/(11)) s  125→200: ((200−125)/(290−125))×600=272(8/(11)) s  200→290: ((290−209)/(290−125))×600=327(3/(11)) s  (b) on clock C:  92→142: 363(7/(11))+272(8/(11))=636(4/(11)) s  (c):  ((400−312)/(512−312))=((x−125)/(290−125))  ⇒x=197(3/5)  i.e. when A reads 400, B reads 197(3/5).  (d):  ((92−15)/(142−92))=((25−x)/(200−25))  ⇒x=−244(1/2)  i.e. when C reads 15, B reads −244(1/2).

$$\left({a}\right)\:{on}\:{clock}\:{B}: \\ $$$$\mathrm{25}\rightarrow\mathrm{125}:\:\frac{\mathrm{125}−\mathrm{25}}{\mathrm{290}−\mathrm{125}}×\mathrm{600}=\mathrm{363}\frac{\mathrm{7}}{\mathrm{11}}\:{s} \\ $$$$\mathrm{125}\rightarrow\mathrm{200}:\:\frac{\mathrm{200}−\mathrm{125}}{\mathrm{290}−\mathrm{125}}×\mathrm{600}=\mathrm{272}\frac{\mathrm{8}}{\mathrm{11}}\:{s} \\ $$$$\mathrm{200}\rightarrow\mathrm{290}:\:\frac{\mathrm{290}−\mathrm{209}}{\mathrm{290}−\mathrm{125}}×\mathrm{600}=\mathrm{327}\frac{\mathrm{3}}{\mathrm{11}}\:{s} \\ $$$$\left({b}\right)\:{on}\:{clock}\:{C}: \\ $$$$\mathrm{92}\rightarrow\mathrm{142}:\:\mathrm{363}\frac{\mathrm{7}}{\mathrm{11}}+\mathrm{272}\frac{\mathrm{8}}{\mathrm{11}}=\mathrm{636}\frac{\mathrm{4}}{\mathrm{11}}\:{s} \\ $$$$\left({c}\right): \\ $$$$\frac{\mathrm{400}−\mathrm{312}}{\mathrm{512}−\mathrm{312}}=\frac{{x}−\mathrm{125}}{\mathrm{290}−\mathrm{125}} \\ $$$$\Rightarrow{x}=\mathrm{197}\frac{\mathrm{3}}{\mathrm{5}} \\ $$$${i}.{e}.\:{when}\:{A}\:{reads}\:\mathrm{400},\:{B}\:{reads}\:\mathrm{197}\frac{\mathrm{3}}{\mathrm{5}}. \\ $$$$\left({d}\right): \\ $$$$\frac{\mathrm{92}−\mathrm{15}}{\mathrm{142}−\mathrm{92}}=\frac{\mathrm{25}−{x}}{\mathrm{200}−\mathrm{25}} \\ $$$$\Rightarrow{x}=−\mathrm{244}\frac{\mathrm{1}}{\mathrm{2}} \\ $$$${i}.{e}.\:{when}\:{C}\:{reads}\:\mathrm{15},\:{B}\:{reads}\:−\mathrm{244}\frac{\mathrm{1}}{\mathrm{2}}. \\ $$

Commented by Kunal12588 last updated on 21/May/20

thanks sir

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

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