Question

A man reaches his office 40 minutes late if he walks 3 km/h, but 30 minutes early, if he walks 4 km/h. His office is at a distance of (in kms).​

Answer 1

We know time = distance/speed, Time taken to travel at 3 km/hour = x/3 hour and, Time taken to travel at 4 km/hour = x/4 hour. Total difference in time = 40 minutes + 30 minutes = 70 minutes or 70/60 hours.

Answer 2

The distance between house and office is 14 Km.

Step-by-step explanation:

Given:

S1 = 3 Km/h

S2 = 4 Km/h

Time difference in hour = (40 + 30)/60 = 7/6 hour

Formula used:

Distance = S1 × S2 × Time difference / Speed difference

Calculation:

Distance = (3 × 4 × 7/6)/1 = 14 Km

∴ The distance between house and office is 14 Km.