SOLUTION: A brother and sister walk home from school at the same constant speed. One day fifteen minutes after they left the school the sister realized she had forgotten her lunch bag. The b

Question 927531: A brother and sister walk home from school at the same constant speed. One day fifteen minutes after they left the school the sister realized she had forgotten her lunch bag. The brother ran back to the school, picked up the lunch bag, and ran after his sister. After the brother caught up with the sister, the siblings continued at their regular speed, but arrived home 6 minutes later than usual. How many times faster than their normal walking speed did the brother run?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Call the distance from school to home unit of distance
Let minutes = their normal time from
school to home
--------------------------
In a minutes period, they walked a distance

The brother ran twice this distance to
get lunch bag and bring it back to his sister
( who must have been standing still )
He ran a distance of:

He ran this in min ( the extra time )

----------------------
Their normal rate was , so he
ran 5 times their normal walking rate
RELATED QUESTIONS
two siblings-a brother and sister-attend the same school. Walking at constant rates the... (answered by josmiceli)

Two siblings attend the same school. The brother takes 40 minutes to walk home, while his (answered by ikleyn)

Carl can walk from his home to school in 30 minutes. It takes his sister 35 minutes to... (answered by ankor@dixie-net.com)

Brothers Paul and Pete walk 2 miles to school from home. Paul can walk to school in 24... (answered by ankor@dixie-net.com)

Joe leave his home to run to school at a Constant rate of 6 mph. His brother John was... (answered by ankor@dixie-net.com,josgarithmetic)

an adult sets out from home to pick up their child from school, and walks at a pace that... (answered by ankor@dixie-net.com)

Anna and Bill walk the same route from home to school. They don't leave at the same time. (answered by josmiceli)

I need help to do a quantative analysis a situation diagram and to solve the problem on... (answered by ankor@dixie-net.com)

Sammy walks home from school everyday at a rate of 4 mph. It takes him 30 minutes to... (answered by josmiceli)