Question

If a scooterist drive at the rate of 24 km per hour from his home he reaches his workplace 5 minute late but if he drives at the rate of 30 km per hour he reaches his work place for minut early

Answer 1

Answer:

18 km

Step-by-step explanation:

Let the duration that he will be on time be x hour

If he travels at 24 km/h

Distance = Speed x Time

Distance = 24( x + 5/60)

Distance = 24( x + 1/12)

If he travels at 30 km/h

Distance = Speed x Time

Distance = 30( x - 4/60)

Distance = 30( x -1/15)

Solve x:

The distance is the same

24( x + 1/12) = 30( x - 1/15)

24x + 2 = 30x - 2

30x - 24x = 2 + 2

6x = 4

x = 4/6 = 2/3 hours

Find the distance:

Distance = 24( x + 1/12) = 24( 2/3 + 1/12) = 18 km

Answer: The office is 18 km away from home.