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I reach my office 40 minutes late if I walk from my house at the speed of 3 km/hour. I shall be 30 minutes early if I walk at the speed of 4 km/hour. Find the distance between my house and the office in km.
1. 11 km
2. 12 km
3. 13 km
4. 14 km

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Correct Answer - Option 4 : 14 km

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.

ALTERNATE METHOD

Let the total distance be x km

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.

⇒ x/3 – x/4 = 70/60 

⇒ x/12 = 7/6

⇒ x = 14

∴ The distance between house and office is 14 Km.

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