Answer:
36 mph
Step-by-step explanation:
The appropriate relations are ...
time = distance/speed
speed = distance/time
Suppose the race has a total length of 360 miles. Then half the race is 180 miles.
The cyclist's time on the first half is (180 mi)/(30 mi/h) = 6 h.
The cyclist's time on the second half is (180 mi)/(45 mi/h) = 4 h.
The total time is 10 h for the total distance of 360 mi, so the average speed is ...
(360 mi)/(10 h) = 36 mi/h
_____
The length of the race doesn't matter. The above numbers make the math convenient. The average is computed from ...
1/((1/2)/30 + (1/2)/45) = 2/(1/30 +1/45) = 2·30·45/(30+45) = 36
This is the <em>harmonic mean</em> of the numbers 30 and 45.
Answer:
<h2>H = 3</h2>
Step-by-step explanation:
Answer: 270 miles
Step-by-step explanation:
From the question, we are informed that the scale for a map to actual distance is 2 cm to 100 mi and that the driving distance on the map between Los Angeles and Las Vegas is 5.4 cm.
The actual distance, in miles, between Los Angeles and Las Vegas will go thus:
= 5.4cm/2cm × 100mi
= 2.7cm × 100miles
= 270 miles
Answer:
b, 3 2/3
Step-by-step explanation:
if you add 1 1/3 and 3 2/3 you get 5
Answer:
0.50 miles
Step-by-step explanation:
<em>We can use two unit converters to solve this problem.</em>
- 1 mile = 1.61 kilometers, and
- 1000 meters = 1 kilometers
<em>Thus, we can setup the ratio below and solve:</em>
Rounding to 2 decimal places, 800 meters = 0.50 miles.
