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## #1 2016-10-18 05:06:57

### Speed Time And Distance Quiz Question.

# Mathematics Quizzes Speed Time And Distance

**Question:**

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:

**Option A):**

18 km**Option B):**

20 km**Option C):**

15 km**Option D):**

25 km

**Correct Answer is Option B):**

20 km

**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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## 2016-10-18 05:06:57

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