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A man travels at the speed of 5 kmph towards the office and comes back at the speed of 8 kmph. If it takes him 13 hours for going to and coming back from office. How far is office from the home?A)50kmB)30kmC)20kmD)40km

Question

A man travels at the speed of 5 kmph towards the office and comes back at the speed of 8 kmph. If it takes him 13 hours for going to and coming back from office. How far is office from the home?A)50kmB)30kmC)20kmD)40km

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Solution

Let's solve this step by step:

Step 1: Let's denote the distance between the office and the home as 'd' km.

Step 2: The man travels to the office at a speed of 5 kmph and comes back at a speed of 8 kmph.

Step 3: The time taken to travel to the office is distance/speed = d/5 hours and the time taken to travel back home is distance/speed = d/8 hours.

Step 4: The total time taken for the journey to the office and back home is given as 13 hours.

So, we can set up the equation as follows: d/5 + d/8 = 13

Step 5: To solve for 'd', we first need to find a common denominator for 5 and 8, which is 40.

So, the equation becomes: 8d/40 + 5d/40 = 13

Step 6: Simplifying the equation gives: 13d/40 = 13

Step 7: Solving for 'd' gives: d = 40 km

So, the office is 40 km away from the home. The answer is D) 40km.

This problem has been solved

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