Mr.Allen can ride his bike from home to Blinn in the same amount of time he can

Question

Mr.Allen can ride his bike from home to Blinn in the same amount of time he can walk from his home to the College Station post office. He ride 10 mph faster than he walks. The distance from his home to Blinn is 7 miles and the distance from his home to the post office is 2 miles. How fast does mr. Allen bike? Mr.Allen can ride his bike from home to Blinn in the same amount of time he can walk from his home to the College Station post office. He ride 10 mph faster than he walks. The distance from his home to Blinn is 7 miles and the distance from his home to the post office is 2 miles. How fast does mr. Allen bike?

Explanation / Answer

let the speed of ride =x ,speed of walk =y

He ride 10 mph faster than he walks

x=10+y

=>y=x-10

distance from his home to Blinn is 7 miles and the distance from his home to the post office is 2 miles

time taken to travel from home to Blinn =7/x

time taken to travel from home to postoffice =2/y

Mr.Allen can ride his bike from home to Blinn in the same amount of time he can walk from his home to the College Station post office

7/x=2/y

7/x=2/(x-10)

7(x-10)=2x

7x-70 =2x

7x-2x=70

5x=70

x=14 mph

mr. Allen rides his bike at 14 mph

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