Question

On Monday hank drove to work at an average speed of 70km/h and arrived 1 minute late. On Tuesday, he left at the same time and took the same route. This time he drove at an average seed of 75km/h and arrived 1 minute early. How long is his route to work? A) 30km B) 35km C) 45km D) 50km E) 60km

Answer 1

Answer:

  35 km

Step-by-step explanation:

The relationship between time, speed, and distance is ...

  time = distance/speed

For time in hours, the distance d satisfies the relation ...

  d/70 -d/75 = 2/60 . . . . . 2 minutes difference in arrival times

  d(1/70 -1/75) = 1/30

  d(1/1050) = 1/30

  d = (1/30)/(1/1050) = 1050/30 = 35 . . . . km

Hank's route to work is 35 km long.