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CAT 1991 — QA Question 40

Time, Speed & DistanceEasy
Passage / Data

Answer the following questions based on the information given below:

There were a hundred schools in a town. Of these, the number of schools having a play – ground was 30, and these schools had neither a library nor a laboratory. The number of schools having a laboratory alone was twice the number of those having a library only. The number of schools having a laboratory as  well as a library was one fourth the number of those having a laboratory alone. The number of schools  having either a laboratory or a library or both was 35.

Every day Neera’s husband meets her at the city railway station at 6.00 p.m. and drives her to their residence. One day she left early from the office and reached the railway station at 5.00 p.m. She started walking towards her home, met her husband coming from their residence on the way and they reached home 10 minutes earlier than the usual time. For how long did she walk?

Answer & solution

  • A

    1 hour

  • B

    50 minutes

  • C

    1/2 hour

  • 55 minutes

Solution

Since her husband meets her mid way, the total time saved by him can be equally divided into time saved while going to station and that saved while returning home.

In other words, he saved 5 mins while going and 5 mins while coming.

So instead of usual time of 6:00 pm he must have met her at 5:55 pm.

So she must have walked for 55 mins.

Hence, option (d).

CAT 1991 QA Q40: Every day Neera’s husband meets her at the city railway station at 6.00 p.m. and drives her to their res — Solution | TheCATExam