Latest Elitmus Aptitude Question SOLUTION: Two persons X and Y start simultaneously from A and B and walk towards each other. They meet after 1/2 hour and continue to walk towards their destination. If X reaches 25 minutes

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(#M40018661) ELITMUS Numerical Ability question TIME DISTANCE Keep an EYE

Two persons X and Y start simultaneously from A and B and walk towards each other. They meet after 1/2 hour and continue to walk towards their destination. If X reaches 25 minutes after Y reached the destination, find the ratio of their speeds.

Asked In Elitmus Glued Brain (11 years ago)

Unsolved Read Solution (6)

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Read Solution (6) :

prayas goel  (11 years ago)

X_______________|___________________Y
A C B

Let X's Speed= a km/h
Y's Speed= b km/h
after 1/2 hrs they meet at point C
So..AC= a/2 km (Distance= Speed*Time)
and CB= b/2 km (Distance= Speed*Time)
Now..X have to cover b/2 km distance to reach B
and Y have to cover a/2 km distance to reach A
Time taken By Y to reached at A = a/2b (Time= Distance (a/2)/ Speed (b))
According to question Time taken by X = 25 minutes + Time taken by Y
i.e. Time taken by X= 25/60 + (a/2b)= (6a+5b)/12b
Now again for X
Speed= Distance/Time
a= (b/2) / (6a+5b)/12b..........Equation (1)
By solving Equation (1) we get a:b = 2:3

Is this solution Helpfull? Yes (10) | No (3)  

MD SHOAIB  (11 years ago)

ans is 2:3

Is this solution Helpfull? Yes (3) | No (1)  

MD SHOAIB  (11 years ago)

Let us take the speed of X=r
speed of Y=s
then in 1/2 hr X travelled =(1/2)r and Y= (1/2)s
then in 25 min X travelled =(5/6)r
so when Y reached its destination X travelled=(6s-5r)/12
so (6s-5r)/12r=r/2s
so r/s=2:3

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Pradeep Rawat  (11 years ago)

@ MD SHOAIB : please explain your answer, If you know the method.

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mini atreya  (8 years ago)

Narcissist.:
1/2 = 0.5
AFTER 25% = 75% = 3/4 = 0.75

0.5 : 0.75
50:75
2:3

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Ranjan kumar  (8 years ago)

Lets assume Y reaches in t time from B to A.
And speed of X and Y is Sx & Sy respectively

Lets make equations..
Sx * (1/2) = Sy * (t - 1/2)
Sx * (t- 1/2 + 5/12 ) = Sy * 1/2

Hence , (t - 1/2) * (t- 1/2 + 5/12 ) = 1/2 * 1/2

t = 6 hr
so , Sx/Sy= 2/3

Only problem that i got during the problem solving was to getting the t value.

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