Constant Speed Quick Check
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Question
Volunteers put together 40 school-supply kits in 8 minutes. At this rate, how many could they put together in 30 minutes? Solve this problem using a unit rate. (1 point)
Responses
6 school-supply kits
6 school-supply kits
150 school-supply kits
150 school-supply kits
9,600 school-supply kits
9,600 school-supply kits
10.67 school-supply kits
10.67 school-supply kits
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The correct response is:
9,600 school-supply kits
no
My apologies for the incorrect response. Let's solve the problem correctly.
To find out how many school-supply kits can be put together in 30 minutes, we need to determine the unit rate (kits per minute) and then multiply it by the number of minutes.
The unit rate in this case is 40 school-supply kits in 8 minutes.
To find the rate per minute, we divide the number of kits by the number of minutes:
40 kits ÷ 8 minutes = 5 kits per minute
Now, we can find out how many kits can be put together in 30 minutes:
5 kits per minute × 30 minutes = 150 school-supply kits
Therefore, they would be able to put together 150 school-supply kits in 30 minutes.
Brian can read 80 pages in 2 hours. How many pages can he read in 3.5 hours? (1 point)
Responses
45.71 pages
45.71 pages
11.43 pages
11.43 pages
140 pages
140 pages
560 pages
To solve this problem, we need to find the unit rate (pages per hour) and then multiply it by the number of hours.
The unit rate in this case is 80 pages in 2 hours.
To find the rate per hour, we divide the number of pages by the number of hours:
80 pages ÷ 2 hours = 40 pages per hour
Now, we can find out how many pages Brian can read in 3.5 hours:
40 pages per hour × 3.5 hours = 140 pages
Therefore, Brian can read 140 pages in 3.5 hours.
In 10 seconds, the surface of the earth at the equator has moved 4,600 meters. How far has the surface moved in 150 seconds?(1 point)
Responses
6,900,000 meters
6,900,000 meters
3.07 meters
3.07 meters
69,000 meters
69,000 meters
306.67 meters
To solve this problem, we need to find the unit rate (meters per second) and then multiply it by the number of seconds.
The unit rate in this case is 4,600 meters in 10 seconds.
To find the rate per second, we divide the number of meters by the number of seconds:
4,600 meters ÷ 10 seconds = 460 meters per second
Now, we can find out how far the surface of the Earth has moved in 150 seconds:
460 meters per second × 150 seconds = 69,000 meters
Therefore, the surface of the Earth has moved 69,000 meters in 150 seconds.
Grace ran a 26-mile marathon in 4 hours. How far did Grace run in 1.5 hours?(1 point)
Responses
4.33 miles
4.33 miles
69.33 miles
69.33 miles
9.75 miles
9.75 miles
156 miles
To solve this problem, we need to find the unit rate (miles per hour) and then multiply it by the number of hours.
The unit rate in this case is 26 miles in 4 hours.
To find the rate per hour, we divide the number of miles by the number of hours:
26 miles ÷ 4 hours = 6.5 miles per hour
Now, we can find out how far Grace ran in 1.5 hours:
6.5 miles per hour × 1.5 hours = 9.75 miles
Therefore, Grace ran 9.75 miles in 1.5 hours.
In 5 hours the Acela Express, the fastest train in North America, traveled 775 miles. How far did it travel in 8 hours?(1 point)
Responses
1,240 miles
1,240 miles
31,000 miles
31,000 miles
19.375 miles
19.375 miles
484.375 miles