A construction crew built 6 miles of road in 2/7 days.
what is the unit rate in the miles per day?
Deon drove 469 miles in 7 hours. At the same rate, how long would it take him to drive 806 miles?
http://www.jiskha.com/display.cgi?id=1445983605
469/7 = 67 miles per hour
806 / 67 = ______ hours
12
To find the unit rate in miles per day, we need to divide the total distance (6 miles) by the number of days (2/7 days).
To perform this calculation, you can follow these steps:
1. Convert the fraction 2/7 to a decimal by dividing the numerator (2) by the denominator (7): 2 ÷ 7 = 0.2857 (rounded to four decimal places).
2. Divide the total distance (6 miles) by the decimal value obtained: 6 miles ÷ 0.2857 = 21 miles.
Therefore, the unit rate for this road construction crew is 21 miles per day.
Now let's move on to the next question about Deon.
To determine how long it would take Deon to drive 806 miles at the same rate, we need to find the time in hours.
To calculate this, you can follow these steps:
1. Set up a proportion using Deon's known distance and time: 469 miles/7 hours = 806 miles/x hours.
2. Cross-multiply: 469 miles * x hours = 7 hours * 806 miles.
3. Divide both sides of the equation by 469 miles to solve for x: x hours = (7 hours * 806 miles) / 469 miles.
4. Calculate the result: x hours ≈ 12.070042 (rounded to four decimal places).
Therefore, it would take Deon approximately 12.07 hours (or about 12 hours and 4 minutes) to drive 806 miles at the same rate.