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

Milk and water are mixed in vessel $A$ in the ratio of $5:2$ and in vessel $B$ in the ratio of $8:5$. In what ratio should quantities be taken from the two vessels so as to form a mixture in which milk and water will be in the ratio of $9:4$?

$A$ shopkeeper has $50 \ kg$ of rice,a part of which he sells at $10 \%$ profit and the rest at $5 \%$ loss. He gains $7 \%$ on the whole. What is the quantity sold at $10 \%$ gain?

$A$ dishonest milkman professes to sell his milk at cost price but he mixes it with water and thereby gains $25 \%$. The percentage of water in the mixture is?

$A$ merchant mixes three varieties of rice costing $Rs. 20$ per $kg$,$Rs. 24$ per $kg$,and $Rs. 30$ per $kg$ and sells the mixture at a profit of $20\%$ at $Rs. 30$ per $kg$. How many $kgs$ of the second variety will be in the mixture if $2$ $kgs$ of the third variety is there in the mixture?

Three glasses of equal volume contain acid mixed with water. The ratios of acid to water are $2:3$,$3:4$,and $4:5$ respectively. If the contents of these glasses are poured into a large vessel,what is the ratio of acid to water in the large vessel?

Vedclass Test Series

Exam Paper Generator

Online Exam Module