SOLUTION: Gail and Bill drove to a beach at an average speed of 50 mi/h. They returned home over the same road at an average speed of 55 mi/h. The trip home took 30 min less time. How far is

Question 109165This question is from textbook
: Gail and Bill drove to a beach at an average speed of 50 mi/h. They returned home over the same road at an average speed of 55 mi/h. The trip home took 30 min less time. How far is the beach from their home? This question is from textbook

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Gail and Bill drove to a beach at an average speed of 50 mi/h. They returned home over the same road at an average speed of 55 mi/h. The trip home took 30 min less time. How far is the beach from their home?
------------------
To the beach DATA;
Rate = 50 mph ; distance = x miles ; time = d/r = x/50 hrs
------------------
From the beach DATA:
Rate = 55 mph ; distance = x miles ; time = d/r = x/55
------------------
EQUATION:
Time to beach - Time from beach = 1/2
x/50 - x/55 = 1/2
(55-50)x/50*55 = 1/2
5x = 25*55
x = 25*11
x = 275 miles
===================
Cheers,
Stan H.
RELATED QUESTIONS
Gail and Bill drove to a beach at an average speed of 50mph and returned home over the... (answered by stanbon)

A family drove to a beach resort at an average speed of 55 MPH and later returned over a... (answered by bucky)

A family drove to a resort at an average speed of 30 mph and later returned over the same (answered by longjonsilver)

Wilma drove at an average speed of 50 mi/h from her home in City A to visit her sister in (answered by ankor@dixie-net.com)

Wilma drove at an average speed of 40 mi/h from her home in City A to visit her sister... (answered by mananth)

Wilma drove at an average speed of 45 mi/h from her home in City A to visit her sister in (answered by ankor@dixie-net.com)

Wilma drove at an average speed of 45 mi/h from her home in City A to visit her sister in (answered by ikleyn,greenestamps)

Wilma drove at an average speed of 50 mi/h from her home in Boston to visit her sister in (answered by lwsshak3,Alan3354)

Summer drove at an average speed of 35 mi/h from her home in Dallas to visit her sister... (answered by ankor@dixie-net.com)