Brenda and her family were driving to her grandmother’s house during a holiday. During the drive, Brenda fell asleep halfway through the trip. When she awoke, her family still had to travel half the distance that she had traveled while she was sleeping. For what fraction of the entire trip had Brenda been asleep?
Is the correct answer one half?
No. She fell asleep 1/2 way through sleeping.That left 6/12 of the trip to go. She woke up and still had 1/2 of the distance she traveled while she slept so she had 1/3 of half way to go. which means she slept for 4/12 of the trip or 1/3.
Your answer is 1/3
1/3
Yes, the correct answer is one half. Brenda fell asleep halfway through the trip, and when she woke up, her family still had to travel half the distance that she had traveled while she was sleeping.
To understand why one half is the correct answer, let's break down the problem:
Let's assume the entire distance of the trip is represented by the number 1.
When Brenda fell asleep, she had traveled half of the distance, which is 1/2.
When she woke up, her family still had to travel half of the distance, which is also 1/2.
So, the distance Brenda traveled while she was asleep (1/2) plus the distance her family had to travel afterward (1/2) equals the entire distance of the trip (1).
Therefore, the fraction of the entire trip that Brenda was asleep is 1/2.