College

You are driving to your friends' house to pick them up for a movie. The movie starts in 40 minutes. It takes you 10 minutes to drive to your friends' house, and from there, 15 more minutes to drive to the theatre at 40 miles per hour. You planned to arrive ten minutes before the movie starts, expecting your friends to be ready when you arrive. However, they took an additional 20 minutes to get ready. How fast should you drive now to reach the theatre before the movie begins? Provide your answer in miles per hour.

Answer :

One must drive at a speed of 62.5 miles per hour to reach the theatre at time.

Time movie starts in: 40 minutes

Time taken to drive to friend's house: 10 minutes

Time taken to drive to the theatre from friend's house: 15 minutes

Speed = 40 miles per hour

Using the formula to find the distance:

Speed = Distance/Time

40 = Distance/(15/60)

40*0.25 = Distance

10 miles is the distance from the friend's house to the theatre

Now, time taken by friends while playing games = 20 minutes

Time remaining = 40 - 10 - 20 = 10 minutes

The distance required to be covered in 10 minutes is 10 miles

Therefore, using the formula we get:

Speed = 10/(10/60)

Speed = 62.5 miles per hour

Hence, one should drive at a speed of 62.5 miles per hour to reach the theatre on time

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