Mark drove his car to the garage at 48 kilometers per hour and then walked back home at 8 kilometers per hour. The drive took 10 minutes less than the walk home How far did Mark walk and for how long?

Answer 1

Let, the distance between the garage and home be d km Distance travelled by car = d km Driving Speed = 48 km / hr Therefore, Time taken by car = Distance travelled by car / Driving Speed = d / 48 hr Distance travelled by walk = d km Walking Speed = 8 km / hr Therefore, Time taken by walk = Distance travelled by walk / Walking Speed = d / 8 hr According to the question, the time taken by car is 10 minutes less than that by walk Therefore, Time taken by walk - Time taken by car = 10 mins or, d / 8 hr - d / 48 hr = 10 / 60 hr [Since, 1 hr = 60 mins or, 1 mins = 1 / 60 hr] or, d / 8 - d / 48 = 1 / 6 or, ( 1 / 8 - 1 / 48 ) x d = 1 / 6 or, [ (6 - 1) / 48 ] x d = 1 / 6 or, (5 / 48 ) x d = 1 / 6 or, d = (1 / 6) x (48 / 5) or, d = 8 / 5 Therefore, d = 1.6 Hence, The distance walked by Mark is 1.6 km. Time taken by walk = d / 8 hr = 1.6 / 8 hr = (1.6 / 8) x 60 mins [ Since, 1 hr = 60 mins ] = 0.8 x 15 mins = 12 mins Hence, Mark walked for 12 mins