Answer:
A) 4.5 miles
B) 4 hours
C) 31.5 miles
Step-by-step explanation:
Given: David hikes 2 1/4 miles in 1/2 hour
To find: A. Rate in miles per hour
B. At this rate,how long will it take him to walk 18 miles?
C. If he walks for 7 hours, how far will he have gone?
Solution: To find the rate in miles per hour we need to multiply \(2 \frac{1}{4}\) by 2.
So, the rate \(=\frac{9}{4}\times2\)
\(=\frac{9}{2}\)
\(=4.5\) miles per hour
Hence, the rate is 4.5 miles per hour.
B. To find at this rate, how long will it take him to walk 18 miles, first we need to find the time taken to walk 1 mile.
He take \(\frac{1}{4.5}\) hour to walk 1 mile.
So, to walk 18 miles it take \(\frac{1}{4.5} \times18\)
\(=2\times2\)
\(=4\) hours
Hence, at this rate he can walk 18 miles in 4 hours.
C. To find, If he walks for 7 hours, how far will he have gone we need to multiply 4.5 by 7
So, \(4.5\times7=31.5\)
Hence, in 7 hours he can walk 31.5 miles
