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XAT 2016 — QA & DI Question 8

Basics of TSD/ProportinalityEasy

Pradeep could either walk or drive to office. The time taken to walk to the office is 8 times the driving time. One day, his wife took the car making him walk to office. After walking 1 km, he reached a temple when his wife call to say that he can now take the car. Pradeep figure that continuing to walk to the office will take as long as walking back home and then driving to the office. Calculate the distance between the temple and the office.

Answer & solution

  • A

    1

  • B

    7/3

  • 9/7

  • D

    16/7

  • E

    16/9

Solution

Time taken to walk to the office is 8 times the driving time. It means that speed while driving is 8 times the speed while walking.

Let the walking speed be ‘s’ kmph
∴ Driving speed = 8s kmph

Let the distance between home and office be D kms.

Now, time taken to (D – 1) kms is same as time taken to walk 1 km and then drive D kms.

∴ D-1s = 1s + D8s

⇒ 8(D – 1) = 8 + D

⇒ 7D = 16

⇒ D = 16/7

∴ Distance between temple and office = D – 1 = 16/7 - 1 = 9/7

Hence, option (c).

XAT 2016 QA & DI Q8: Pradeep could either walk or drive to office. The time taken to walk to the office is 8 times the driving time — Solution | TheCATExam