SOLUTION: a family leaves home at 1pm, when billy asks are we there yet at 2:30pm they are 70 miles from gramdma's house, when jane asks at 2:45pm they are 55 miles away. how far from gra

Question 1011261: a family leaves home at 1pm, when billy asks are we there yet at 2:30pm they are 70 miles from gramdma's house, when jane asks at 2:45pm they are 55 miles away.
how far from grandma's does the family live
at what time will the family arrive at grandma's
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
Do we have to write linear equations?

WITH LINEAR EQUATIONS:
= the family's speed (which for the purpose of this problem is constant), in miles per hour, and
= total distance the family travels to grandma's house, in miles.
When Billy asks "Are we there yet?",
the family has been traveling for (from 1:00pm to 2:30pm).
They have traveled miles, and their distance (in miles) to grandma's house is
.
When Jane asks "Are we there yet?",
the family has been traveling for (from 1:00pm to 2:45pm).
They have traveled miles, and their distance (in miles) to grandma's house is
.
We need to solve the system
-->-->-->-->-->-->--> .
So the family lives miles from grandma's house,
and at mph it would take them

,
so they will arrive at grandma's house at .

THE FIFTH GRADER SOLUTION:
IN the minutes between Billy's question and Jane's question
the family had traveled miles,
so they are traveling 1 mile per minute.
When Billy asked, at 2:30pm, they were miles from Grandma's house.
At mile per minute, they will cover that distance in minutes,
so they will arrive at grandma's house after 2:30pm.
They will arrive at

.
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