Question

Mr. X drives to his office at an average speed of 48 km per hour. The time taken to cover the first 60% of the distance is 10 minutes more than the time taken to cover the remaining distance. How far is his office?

Options

• 30 km

• 40 km

• 45 km

• 48 km

Answer 1

40 km
Explanation:
Let the distance of office = x

Then, `(60%of   x)/48-(40%of   x)/48=10/60`

⇒ `(60xxx)/(100xx48)-(40xxx)/(100xx48)=1/6`

⇒ `(6x-4x)/(10xx48)=1/6`

⇒ `2x=(10xx48)/6=80`

⇒ x = 40 km