Question

Eugene walked all the way to school at 3 mph then realized she forgot her math book (how could she?!), so she ran back at 7 mph. If she got back to her house 45 minutes after she left, how far does she live from school?

Answer 1

`\text{Answer: }1(23)/(40)\ miles\text{ far she live from school.}`

Step-by-step explanation:

Since we have given that

Speed at which Eugene walked all the way to school = 3 mph

After realizing that she forgot her math book, she ran back

Speed at which Eugene walked back to her house = 7 mph

Let the distance between her house and her school be x

According to question,

`(x)/(3)+(x)/(7)=(45)/(60)\\\\(7x+3x)/(21)=(3)/(4)\\\\(10x)/(21)=(3)/(4)\\\\x=(3* 63)/(4* 10)=(63)/(40)=1(23)/(40)\ miles.`

Hence,

`1(23)/(40)\ miles\text{ far she live from school.}`