SOLUTION: Hello, Can you please show me which formula to use, as well as explaining it step by step including the answer.. Admittedly, I'm not a student, I was and am just horrible at mat

Question 898330: Hello,
Can you please show me which formula to use, as well as explaining it step by step including the answer.. Admittedly, I'm not a student, I was and am just horrible at math. I travel a lot, so I'd like to know which formula I can use, the steps involved in figuring it out, and also showing how to check my work, to know that it's correct. I really wish I could understand simple formulas and equations.. With your help, I'm confident that it will help conquer my fear with math so that when my daughter gets older and brings her algebra home, I'll be able to help her (while actually knowing what I'm talking about)!! Haha
Here's my question:
If I'm driving 276 miles at 70 mph, how long will it take me to reach my destination?
* my guess is somewhere between 4'18". I know that's probably within the ballpark, BUT what I don't know is the formula to use, in order to get an exact answer.
Thank you so much for you help, I really appreciate it!!
Regards,
Rachel
Found 2 solutions by nerdybill, KMST:
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
If I'm driving 276 miles at 70 mph, how long will it take me to reach my destination?
the equation is "the distance formula":
d = rt
where
d is distance traveled (276)
r is rate or speed (70 mph)
t is time (what you're looking for)
.
substitute what you know:
276 = 70t
276/70 = t
3.943 hours = t
or
3 hours and 57 minutes
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
Math is not about memorizing formulas. Teachers may like to see formulas and even make students use fancy names for formulas. That just makes math scary and unnecessarily complicated.

A MADE UP STORY:
Three preschoolers, Tom, Dick, and Harry, go trick-or-treating for Halloween. They get a total of 28 pieces of candy, and decide to divide the loot fairly among themselves.
At Tom's house, they sit on the floor in a circle, and Tom starts dealing the candy as you would deal cards.
He says one for Dick, one for Harry, and one for me, as he sets each piece of candy in front of the corresponding boy.
He repeats the process, dealing one round of candy after another.
Finally, each boy has 9 pieces of candy and there is one piece left over.
Tom says "28 divided among the 3 of us is 9 and there is one piece of candy left."
Dick says, "let's give that remaining piece to Tom's mom, who walked with us as we were trick-or-treating."
Harry agrees, and the three preschoolers have easily solved the problem.
They may not word it as "28 divided by 3 gives a quotient of 9 and a remainder of 1," but they solved the problem.
Years later, in fourth grade, they face a math problem about three preschoolers that want to fairly divide 28 pieces of candy among themselves. They have learned their math facts and their times tables. They have learned that math is difficult, and believe that they cannot rely on their own thinking. They have been trained to think that only the teacher can know for sure if an answer is correct. They wonder if that is "a plus problem". Do they have to multiply? Or do they have to divide?

YOUR PROBLEM:
Think like a preschooler.
Driving at 70 miles per hour means that
in 1 hour you travel 70 miles,
in 2 hours you travel 2 times 70 miles, which is 140 miles,
in 3 hours you travel 3 times 70 miles, which is 210 miles, and
in 4 hours you can travel 4 times 70 miles, which is 280 miles.
Since 276 is more than 210 and is almost 280,
that means that it will take you more than 3 hours, and really almost 4 hours to drive 276 miles.
Finding a more exact answer is finding how many times 70 miles goes into 276 miles.
You divide 276 by 70.
The answer can be stated as 3.9428571428571428571428571428571428571428571...., or as hours, if you want to be extremely precise.

You could also round the result and say "almost 4 hours", or 3.94 hours, or 3.942857 hours.
If you want hours and minutes you could use the fact that there are 60 minutes in one hour.
So you can turn 3.942857 hours into 3 hours and
0.942857 times 60 minutes, which is 56.5714 minutes.
You could round the minutes to 57 minutes, and say it takes 3 hours and 57 minutes to reach your destination.
If you want to be more precise, since there are 60 seconds in each minute, you could turn 56.5714 minutes into 56 minutes and
0.5714 times 60 seconds, which is 34.28 seconds.
Rounding 34.28 down to 34, you would say that it takes
3 hours, 56 minutes, and 24 seconds to reach your destination.
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