QA – Placement Quizzes | Time Speed Distance | Question 2

If John walks at the speed of 5 km/h, he reaches his office 7 minutes late. However, if he walks at the speed of 6 km/h, he reaches his office 5 minutes early. How far is his office from his home?
(A) 9
(B) 8
(C) 10
(D) 6

Answer: (D)
Explanation: Let the distance of John’s office from his home be x.
The time difference when covering the distance x at the two different speeds = 5 – (-7) = 12 min = 1/5 hr
⇒ x/5 – x/6 = 1/5
⇒ (6x – 5x)/30 = 1/5
⇒ x = 6.
So, his office is 6 km far from his home.
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