Manoj reaches his office 6 minutes late, walking at a speed of 5 km/hr and he reaches there 2 minutes early when walking at 6 km/hr then find the distance of his office from home. 

Manoj reaches his office 6 minutes late, walking at a speed of 5 km/hr and he reaches there 2 minutes early when walking at 6 km/hr then find the distance of his office from home.  Correct Answer 4 km 

Given:

When speed is 5 km/hr reaches 6 min late

And when speed is 6 km/hr reaches 2 min early

Formula:

Speed = distance/time

Calculations:

Let distance = d km

now, when speed 5 km/hr he reaches 6 minutes late

Time = (T + 6/60) hour

When speed 6 km/hr reaches 2 minutes before

Time = (T - 2/60) hour

Time difference = (T + 6/60) – (T – 2/60)

⇒ T + 6/60 – T + 2/60

⇒ 8/60 hour

⇒ d/5 – d/6 = 8/60

⇒ d/30 = 8/60

⇒ d = 4 km

∴ Distance between home and office is 4 km.