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

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(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 $= 	ext{Speed} 	imes 	ext{Time} = 55 	ext{ km/h} 	imes 3 	ext{ h} = 165 	ext{ km}$.

Similar Questions

$A$ mixture of a certain quantity of milk with $16$ litres of water is worth $90$ $P$ per litre. If pure milk is worth $Rs. 1.08$ per litre,how much milk is there in the mixture? (in Litres)

The ratio of alcohol and water in $40$ $litres$ of mixture is $5:3$. Then $8$ $litres$ of the mixture is removed and replaced with water. Now,the ratio of the alcohol and water in the resultant mixture is

In a $729 \ L$ mixture of milk and water,the ratio of milk to water is $7:2.$ To get a new mixture containing milk and water in the ratio $7:3,$ the amount of water to be added is (in $L$)

In a mixture of $60\, L$,the ratio of acid and water is $2:1$. If the ratio of acid and water is to be $1:2$,then the amount of water (in $litres$) to be added to the mixture is:

How many $kg$ of salt at $42$ $P$ per $kg$ must a man mix with $25 \, kg$ of salt at $24$ $P$ per $kg$,so that he may,on selling the mixture at $40$ $P$ per $kg$,gain $25 \%$ on the outlay?

Vedclass Test Series

Exam Paper Generator

Online Exam Module