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12 votes
12 votes
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

User Theressa
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1 Answer

13 votes
13 votes

Answer:

35 km

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.

User Keller
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2.4k points