Latest Elitmus Aptitude Question SOLUTION: If anyone remember this question asked in elitmus ppr of 22nd december. Q. A man covers certain distance in time T with velocity V.If he covers 30km of the distance with same speed

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(#M40031080) ELITMUS Numerical Ability question time and distance Keep an EYE

If anyone remember this question asked in elitmus ppr of 22nd december.
Q. A man covers certain distance in time T with velocity V.If he covers 30km of the distance with same speed and remaining with 2V/5 then it takes 45 min more than time T.And if he covers 45km of distance with same speed and remaining with 2V/5 then it takes 36 min more then the original time.what is it initial velocity V.

Option
a)45
B)60
c)90
d)150

Asked In Elitmus gauravpuranik (10 years ago)

Unsolved Read Solution (4)

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Read Solution (4) :

Deepak  (10 years ago)

ans:150;
Let Distance=D, therefore V=(D/T) or T=(D/V);
now from the first condition we have,
t1=(30/v),t2=((D-30)/(2V/5))and t1+ t2= T+(45/60);
(30/v)+((D-30)/(2V/5)) = (D/V)+(45/60); after solving this equation we will have
2D-v=60; -----(1)

similarly, from the 2nd Condition
t1=(45/v),t2=((D-45)/(2V/5))and t1+ t2= T+(36/60);
(45/v)+((D-45)/(2V/5))=(D/V)+(36/60);after solving this equation we will have
5D-2V=225; -------(2)

after solving equation (1) & (2) V=150;

Is this solution Helpfull? Yes (37) | No (1)  

Simran  (10 years ago)

let time T, Velocity V and D=VT
30 km at the speed of V will take 30/V hour and at (2/5) of V = 2V/5 speed for (VT - 30) it will take (VT - 30)/(2V/5) hours
Now T + 45/60 = (30/V) + (VT - 30)/(2V/5)-------(1)
now acc. to 2nd Cond. he covers 45km of distance with same speed and remaining with 2V/5 then it takes 36 min more than the original time.
45 km on V speed and (2/5 V speed) for (VT - 45)
Time = (45/V) + (VT - 45)/(2V/5) = T + 36/60------(2)
(1)-(2)
=>9/60= -15/V+75/2V
=>9/60=1/V[-30+75/2]
=>9/60= 45/2V
=>V=150

Is this solution Helpfull? Yes (5) | No (1)  

TAPAS SARKAR  (10 years ago)

d)150 is it correct?

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Bhaskar pal  (10 years ago)

yes 150 is correct

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