It takes Mickey a total of 45 minutes to ride his bike 5 miles to Minnie’s house and then walk the remaining mile to school with her.If he rides his bike the entire distance to school at the same...

It takes Mickey a total of 45 minutes to ride his bike 5 miles to Minnie’s house and then walk the remaining mile to school with her.

If he rides his bike the entire distance to school at the same rate he rode to Minnie’s   house, it will take him 30 minutes. What is his walking speed, in miles per hour?

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justaguide's profile pic

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted on

Mickey takes 45 minutes to ride on his bike to Minnie's house that is 5 miles away and then walk the rest of the distance which is a mile to school with her. If Mickey rides the distance of 6 miles from his house to the school on his bike at the rate he rode from his house to her house it would take him 30 minutes.

Let the speed at which Mickey rides his bike be X, as he takes 30 minutes to ride 6 miles at that speed it is equal to `6/(1/2) = 12` miles/hour.

Let the speed at which they walk the 1 mile from Minnie's house to the school be X.

=> `5/12 + 1/X = 3/4`

=> `1/X = 3/4 - 5/12`

=> `1/X = 1/3`

=> X = 3 miles/hour

They walk at 3 miles/hour from Minnie's house to the school.

johnydan's profile pic

johnydan | Student, Grade 9 | (Level 1) Honors

Posted on

total distance to school is 6 miles.

30x/60=6
x/2=6
x=12
he rides his bike at 12mph
12x/60=5
12x=300
x=25

it takes him 25 minutes to ride to minnies house

it takes him 20 minutes to walk a mile
20x/60=1
x=60/20
x=3 mph

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