Diana is going camping with her family. Their campsite is 3/4 mile away. They walk at a steady speed of 1 and 1/8 miles an hour. How many minutes will it take to get to the campsite
40 min
40min
(3/4 mi)/(9/8 mi/hr) = 3/4 * 8/9 hr
= 24/36 hr = 2/3 * 60 min = 40 min
To find out how long it will take Diana and her family to get to the campsite, we can divide the distance they need to walk by their walking speed.
First, let's convert the walking speed from 1 and 1/8 miles per hour to an improper fraction.
To do this, we multiply the whole number (1) by the denominator (8), which gives us 8. Then we add the numerator (1) to get a total of 9. So, the walking speed of 1 and 1/8 miles per hour can be written as 9/8 miles per hour.
Now, we can calculate the time it will take to walk to the campsite:
Time = Distance / Speed
The distance is given as 3/4 mile, and the walking speed is 9/8 miles per hour.
Time = (3/4) / (9/8)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
Time = (3/4) * (8/9)
Multiplying the numerators (3 * 8) and the denominators (4 * 9), we get:
Time = 24/36
We can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 12:
Time = (24 ÷ 12) / (36 ÷ 12)
Time = 2/3
So, it will take Diana and her family 2/3 of an hour to walk to the campsite.
To convert this to minutes, we know that there are 60 minutes in an hour. Let's multiply 2/3 by 60 to find the number of minutes:
Time (in minutes) = (2/3) * 60
Calculating this, we get:
Time (in minutes) = 40
Therefore, it will take 40 minutes for Diana and her family to get to the campsite.