This question was previously asked in

Official UPSC Civil Services Exam 2013 Prelims Part B

- Two hours
- Two and a half hours
- Five and a half hours
- Four hours

Option 1 : Two hours

**Given:**

Walk + Drive = 6 hours

Walk + Walk = 10 hours

Concept used:

If a person covers a certain distance d in walking and again return to the starting point also in walking, then

Time taken to cover the distance = Time to return the starting point

**Calculation:**

According to the question,

Walk + Drive = 6 hours ----(1)

Walk + Walk = 10 hours

⇒ 2 × walk = 10 hours

Walk = 5 hours ----(2)

From equation (1) and (2), we get

5 + Drive = 6 hours

⇒ Drive = 1 hour

Now, time taken by a person while he driving both ways = 1 hour + 1 hour

⇒ 2 hours

**∴ The required time to drive both ways is 2 hours.**

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