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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

 Mar 9, 2020
 #1
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Let  the speed of the  bike  =  S

Then the speed of the scooter=  S + 10

 

And  time * rate  = distance....so....

 

3(S+10)  +  (5 + 1/2) (S)  =   285     simplify

 

3S + 30  +  (5 + 1/2)S  =  285

 

3S + 30  + (11/2)S  = 285       subtract  30  from both sides

 

3S + (11/2)S  =  255

 

(6/2)S  + (11/2)S =  255

 

(17/2)S =  255       multiply  both sides  by 2/17

 

S = 255 (2/17)   =   30  (mph)   =speed of  bike

 

S + 10  =  sqeed of scooter =  30 + 10  =  40 (mph)

 

cool cool cool

 Mar 9, 2020

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