SOLUTION: A harried parent leaves his house during rush-hour each weekday to fetch his
wife at the railroad station and return to pick up his child from school. His
house, station and scho
Algebra.Com
Question 943978: A harried parent leaves his house during rush-hour each weekday to fetch his
wife at the railroad station and return to pick up his child from school. His
house, station and school are equal distance of 1 mile from each other. (On an
imaginary triangle.) He usually makes the whole trip in 15 minutes. Because of
heavy traffic at rush-hour, he averages 10 miles/hour slower between the station
and the school. How fast is his speed between the house and the station?
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
The word, "return" is creating ambiguity. I will take the meaning, that the harried parent is making a circuit around the triangle.
Using all units as miles, hours, miles per hour,
_____________________rate___________time___________distance
HOUSEtoSTATION_______r-10___________________________1
STATIONtoSCHOOL______r______________________________1
SCHOOLtoHOUSE________r______________________________1
Total______________________________
_____________________rate___________time___________distance
HOUSEtoSTATION_______r-10___________1/(r-10)_________1
STATIONtoSCHOOL______r______________1/r______________1
SCHOOLtoHOUSE________r______________1/r______________1
Total______________________________
The question means, to find r-10.
, the equation formable from the data table. Solve for r, and compute r-10.
RELATED QUESTIONS
George leaves the house on his bike, traveling at 18mph. one hour later his wife June... (answered by jjordan95)
George leaves his house on his bike at 7:30 AM and averages 5 miles per hour. His wife... (answered by mananth)
Mr. Smith forgot his suitcase at home in his rush to leave on a business trip. His wife... (answered by stanbon)
During the COVID 19 pandemic, Jerry, a front liner nurse, decided to use his bicycle... (answered by Boreal)
A man on a motorcycle travels at 45mph down a road. His wife leaves 1 hour later down... (answered by josmiceli,maxitee)
I don't know how to set this up:
Bill leaves his house for Maya's house riding his... (answered by edjones)
Each day a man meets his wife at the commuter train station after work, and
then she... (answered by ankor@dixie-net.com,TheCotMan,richwmiller)
John travels by train to go home and arrives at the railway station every day at 17h00. (answered by mananth)
Tim rides by train to go home and arrives at the railway station every day at 18h00.His... (answered by ankor@dixie-net.com)