Latest Elitmus Aptitude Question SOLUTION: Viru and dhoni are running in a race if there speed is in the ratio 5:3 respectively and total distance traveled by them in one round is .5 km . Find the distance traveled by viru

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(#M40119484) ELITMUS question Time Distance and Speed Keep an EYE

Viru and dhoni are running in a race if there speed is in the ratio 5:3 respectively and total distance traveled by them in one round is .5 km . Find the distance traveled by viru when he passes dhoni for the sixth time.

OPTIONS-
A)6.26 km
B)7.25 km
C)10.5 km
D)12 kms

This question was asked in 22nd feb ph test.

Asked In Elitmus sheikh shahrukh (9 years ago)

Solved siddharth prakash singh Read Solution (6)

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Read Solution (6) :

shailendra singh  (9 years ago)

the total distance traveled by them means in one round they both covers a distance of 0.5 km..
let the speed of viru is 5 km/h and that of dhoni is 3 km/h
the time of the meeting in which they meet for the first time is given as...... (distance)/(difference of the speed) = 0.5/(5-3)=1/4........
when they will meet for the 6th time the time taken by both will be 6*(1/4) = 3/2.....
now speed of dhoni is 5 km/h and time taken is 3/2..... so distance traveled by dhoni is 15/2= 7.5 km....
answer is not given in the option but it is correct one

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siddharth prakash singh  (9 years ago) Best Solution

let speed of viru and dhoni are 5x and 3x.
ratio of distance traveled by them= ratio of speed of them =5:3
total distance traveled by both=.5km
so distance traveled by viru in one round= .5*(5/8) =.3125km and distance traveled by dhoni in one round will be .1875 km.
so the length of track =.3125.
time taken by viru to complete one round=.3125/5x
and time taken by dhoni to complete one round=.3125/3x
both will meet after time( LCM of .3125/5x and .3125/3x)=.3125/x
both meet for the sixth time after (.3125/x)*6
so distance traveled bu viru upto 6th meet = (.3125/x)*6*5x =9.375km

correct me if i am wrong...

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sheikh shahrukh  (9 years ago)

sorry the first option was 6.25 not 6.26

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aman aditya  (9 years ago)

ans>6.25

done manually taking each starting and crossing poing in mind

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siddharth prakash singh  (9 years ago)

please explain any one

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siddharth prakash singh  (9 years ago)

i m not getting the meaning of total distance traveled by them in one round is .5 km..

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