Management Aptitude Test Sep 2013 Paper

Question : 86 of 200

Marks: +1, -0

Vidya leaves the studio every day at 6.00 pm to meet Salman at 7.00 pm at point X stopping anywhere along the way. One day she left the studio at the usual time i.e., 6.00 pm and travelled the first half of the distance at 3/4th of her original speed. At what speed must she travel the second half of the distance to reach the point X on time?

At $3/2$ times of her usual speed
At 2 times of her usual speed
At $1/6$ times of her usual speed
None of the above

Validate

Solution:

(a) First half of the distance is covered at 3/4th of its original speed.
Then, Vidya taken 4/3 of its original time to cover half of the distance.
So, Vidya takes 1/3 extra time during her first half journey.
Now, she is left with

(1-1/3)

of the time to cover her remaining half distance = 2/3rd of the time.
So, she can cover the distance at 3/2 times of her usual speed

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