Latest Elitmus Aptitude Question SOLUTION: Karju normally took 12 hours to drive from city A to city B. Today his car developed some technical glitch at point C, between A and B. After fixing the glitch in 15 min, he drove

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(#M40151310) ELITMUS Numerical Ability question Keep an EYE

Karju normally took 12 hours to drive from city A to city B. Today his car developed some technical glitch at point C, between A and B. After fixing the glitch in 15 min, he drove at a speed 20% more than the normal speed. He reached the destination 15 minutes earlier than the normal time. The ratio of the distances AC and CB is

Asked In Elitmus sangrambadi sahoo (9 years ago)

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Prakhar Kumar  (9 years ago)

ans- 3:1
total distence- x, y is distence between A and C , x-y is distence between C and B. Time taken to reach the point C is 12y/x.
after 15 min(1/4h) his speed is improved and become x/12(1+1/5)= x/10.
and time taken to reach the point B from C is x-y/(x/10).
1/4+12y/x+ (10x-10y)/x =12- 1/4
after solving we get x=4y/3
hence ratio= y/(x-y) = 3:1

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asp  (9 years ago)

ans- 3:1
solution; let ratio of distance is x:y;
(x+y)/v=12hr..........(1);
(time taken x distance=x/v+15/60) +(time taken y distance=y/(v+v/5)=(time taken to reached destination=12-15/60 ) ;
x/v+15/60 +y/(1.2V)=12-15/60........................(2);
after solving (1) &(2)
we get x:y=3:1;

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vipul gera  (9 years ago)

Ans =3:1
usual speed to reach from A to B = d/12 where d is dis b/w A & B and let x is dis b/w A & C
so total time taken is = x/(d/12) + 15 min + d-x/(d/12+ 20% of d/12)=12hr-15 min
x/(d/12)+1/4+d-x/(d/10)=47/4
so d=4x/3
ratio will be 3:1. hope you will understand

Is this solution Helpfull? Yes (4) | No (1)  

kundan prasad  (8 years ago)

Ans:AC:CB::3:1
Sol: A.................................................C.......................................................B
Let distance from A to C is d1 and From C to B is d2
According to equation
(d1 + d2)/v=12-----------------eqn(i)
(d1/v + d2/1.2v)=(12-1/2)-----------eqn(ii)
after solving equation by putting the value of v in eqn in (ii)
we,get
d1:d2 :: 3:1

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Zinhar Malik  (8 years ago)

let ratio be x:1,n velocity be v,so
x+1/v =12 &
x/v + 15/60 + 1/1.2v=12 - 15/60
solving 1&2 we get x:1=3:1

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sangrambadi sahoo  (9 years ago)

i could not get your answer correctly....plz explain @prakhar

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subhash  (9 years ago)

ya i too did not get your answer please explain once

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Manikanta  (7 years ago)

3:1 do it properly

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