# QA – Placement Quizzes | Time Speed Distance | Question 1

Samuel covers the distance from his home to his office at a speed of 25 km/hr and comes back at a speed of 4 km/hr. He completes the whole journey within 5 hours 48 minutes. Find out the distance from his home to office:**(A)** 20 km**(B)** 18 km**(C)** 15 km**(D)** 25 km**Answer:** **(A)****Explanation:** Let the speed of travelling to office and back to home be x and y respectively.

So, his average speed is = 2xy / (x+y) = (2 × 25 × 4) / (25 + 4) = 200/29 km/hr

He covers the whole journey in 5 hours 48 minutes = 5⅘ = 29/5 hrs

Therefore, total distance covered = (200/29 × 29/5) = 40 km

So, the distance from his home to office = 40/2 = 20 km

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