Problem of the Week

Dec 19, 2021 | Folsom

 

 

 

 

 

 

Did you figure it out?

Answer:  90 miles per hour

Solution:  Since 11:00 am to 5:00 pm is 6 hours, the train takes 6 hours to get from London to the small town in Scotland. If we divide 540 miles by 6 hours, we get 90 miles per hour. So, the train’s average speed during its journey is 90 miles per hour.

 

 

 

 

 

 

 

 

 

Did you figure it out?

Answer:  482 points

Solution:  First, we set up a system of equations for the points scored by the Serpents, the Badgers, and the Eagles:

    S = 1.25B + 32

    B = 5/6E – 3

    S + B + E = 1,250

When we solve this system, we get S = 472, B = 352, and E = 426. Since S is the greatest value so far and we know that the Lions beat that score by 10 points, the Lions must have scored 472 + 10 = 482 points.

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