A person travels 285 text{ km} in 6 text{ hou | vedclass

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(C) Let the time spent traveling by bus be $t_1$ hours and the time spent traveling by train be $t_2$ hours.Total time $t_1 + t_2 = 6 	ext{ hours}$.T

Vedclass · Accepted Answer

$165$

Vedclass · Answer

(C) Let the time spent traveling by bus be $t_1$ hours and the time spent traveling by train be $t_2$ hours.Total time $t_1 + t_2 = 6 	ext{ hours}$.Total distance $= 40t_1 + 55t_2 = 285 	ext{ km}$.Using the alligation method:Speed of bus $= 40 	ext{ km/h}$,Speed of train $= 55 	ext{ km/h}$.Average speed $= \frac{285}{6} 	ext{ km/h} = 47.5 	ext{ km/h}$.Difference for bus $= |55 - 47.5| = 7.5$.Difference for train $= |40 - 47.5| = 7.5$.Ratio of time (bus : train) $= 7.5 : 7.5 = 1 : 1$.Since the total time is $6 	ext{ hours}$,time spent in each mode is $3 	ext{ hours}$.Distance traveled by train $= 	ext{Speed} 	imes 	ext{Time} = 55 	ext{ km/h} 	imes 3 	ext{ h} = 165 	ext{ km}$.

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