A scooter travels 10 miles per hour faster than an electric bicycle. The scooter traveled for 3 hours and the bicycle traveled for 5 1/2 hours. All together the scooter and bicycle traveled no more than 285 miles. Find the maximum speed of each

The maximum speed of bicycle and scooter are  30 miles/hour and 40 miles/hour respectively.

Step-by-step explanation:

Let the speed of electric bicycle be x

We are given that A scooter travels 10 miles per hour faster than an electric bicycle.

So, Speed of scooter = x+10

The scooter traveled for 3 hours

The bicycle traveled for

Distance traveled by scooter =

Distance traveled by bicycle =5.5x

We are given that  All together the scooter and bicycle traveled no more than 285 miles

So,

Maximum speed of bicycle = 30 miles/hour

Maximum speed of scooter = x+10=30+10=40 miles/hour

Hence the maximum speed of bicycle and scooter are  30 miles/hour and 40 miles/hour respectively.

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.

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