SOLUTION: on a business trip,dana traveled to her destination at an average speed of 55 miles per hour.coming home,her average speed was 45mph and the trip took two hours longer.how many hou

Question 166786: on a business trip,dana traveled to her destination at an average speed of 55 miles per hour.coming home,her average speed was 45mph and the trip took two hours longer.how many hours did she travel alltogether?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
on a business trip,dana traveled to her destination at an average speed of 55 miles per hour.coming home,her average speed was 45mph and the trip took two hours longer.how many hours did she travel alltogether?
-------------------
Going DATA:
rate = 55 mph ; time = x hrs ; distance = rt = 55x miles
---------------------------
Coming DATA:
rate = 45 mph ; time = x+2 hrs ; distance = rt = 45(x+2)
----------------------------
go distance = come distance
55x = 45(x+2)
55x = 45x + 90
10x = 90
x= 9 hours
----------------
Total distance = 55x + 45x + 90 = 100x + 90 = 990 miles
==================================
Cheers,
Stan H.

RELATED QUESTIONS
Mrs. Kerr drove from her home to her friend's house at an average speed of 55 miles per... (answered by mananth)

hannah took a trip to visit her cousin.she drove 120 miles to reach her cousin's house... (answered by ankor@dixie-net.com)

Danielle drives from her home to the store at an average speed of 40 miles per hour. She... (answered by amoresroy)

Emily traveled 60 miles on the highway and 16 miles on the local roads to reach her... (answered by ikleyn,josgarithmetic)

Driving 45 miles per hour, it takes Stephanie 1 hour to reach the train station to go on... (answered by Alan3354)

Cheryl left home on a business trip in her car and averaged 50mph. The next day she... (answered by ankor@dixie-net.com)

Driving time. On Halley�s trip back to Bangor, she drove at an average speed of 55 mph... (answered by mananth)

Danielle drives from her home to the store at an average speed of 40mph. She returns... (answered by algebrahouse.com)

On a 255-mile trip, Gary traveled at an average speed of 70 miles per hour, got a... (answered by lwsshak3)