On Saturday, the Gomez family left home to a resort in Maine. The drove at an average rate of 48 mph. ON Thursday they went back home traveling at an average speed of 40 mph because of work construction. If the Gomez family spent 11 hours driving to and from the resort in Maine, How many miles did they travel from their house to the resort?

Please show work!

Question

28-02-2018
Mathematics

contestada

On Saturday, the Gomez family left home to a resort in Maine. The drove at an average rate of 48 mph. ON Thursday they went back home traveling at an average speed of 40 mph because of work construction. If the Gomez family spent 11 hours driving to and from the resort in Maine, How many miles did they travel from their house to the resort?

Please show work!

Respuesta :

Otras preguntas

the areas of two similar rectangles are 338 cm squared and 73 cm squared. what is the similarity ratio of the perimeters

what is 7/12 divided by 14/15

A force F of strength 20 N acts on an object of mass 3 kg as it moves a distance of 4 m. If F is perpendicular to the 4 m displacement, the work it does is equ

A 0.0010-kg pellet is fired at a speed of 50.0m/s at a motionless 0.35-kg piece of balsa wood. When the pellet hits the wood, it sticks in the wood and they s

solve this system of equations by the substitution method

How did slaves respond to slavery? What evidence exists to show that slaves did not accept their condition without protest and that, in some cases, they were st

Why is carbon is considered tetravalent?

How did the beliefs of Booker T. Washington and W.E.B. Du Bois differ?* A. Washington fought for economic equality; Du Bois fought for social equality.* B. Was

A wood board 156 centimeters long is cut into three parts .The two longer parts are the same length and are 15 centimeters longer than the shortest part.how lon

How do I convert Cartesian coordinates to polar coordinates?

ACCESS MORE EDU ACCESS Universidad de Mexico

sqdancefan sqdancefan · Answer 1 · 2018-02-28T04:24:31+01:00

Time = Distance/Speed

Let d represent the distance from home to the resort in miles.
Time To Resort = d/48
Time To Home = d/40
Total Time = Time To Resort + Time To Home
11 = d/48 +d/40 . . . . . . . . . . substitute known values & expressions
.. = d*(40 +48)/(40*48) . . . . add fractions
.. = d*11/240 . . . . . . . . . . . . . simplify
11*(240/11) = d . . . . . . . . . . . multiply by the inverse of the coefficient of d
240 = d

The Gomez family traveled 240 miles from their house to the resort.