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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