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CAT 1994 — QA Question 23

Relative SpeedEasy
Passage / Data

Answer the next 2 questions based on the following information:

If
md(x) = x ,
mn(x,y) = minimum of x and y and
Ma(a,b,c,...) = maximum of a,b,c…

A and B walk from X to Y, a distance of 27 km at 5 kmph and 7 kmph respectively. B reaches Y and immediately turns back meeting A at Z. What is the distance from X to Z?

Answer & solution

  • A

    25 km

  • 22.5 km

  • C

    24 km

  • D

    20 km

Solution

Let they meet at a distance x kms from X.
So the total distance travelled by A = x at the speed of 5 kmph.
Total distance travelled by B = 27 + (27 – x) = (54 – x) at the speed of 7 kmph.
Time taken by A = x5.

Time taken by B = (54-x)7

Since they have met at the same time, they would have travelled for the same time. Hence x5=(54-x)7 or x = 22.5 kms.

CAT 1994 QA Q23: A and B walk from X to Y, a distance of 27 km at 5 kmph and 7 kmph respectively. B reaches Y and immediately t — Solution | TheCATExam