Rates and Measurement Unit Test
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Question
The newest John Deere combine machine can harvest 180 acres of wheat in 6 hours. How many acres will be harvested in 10 hours?(1 point)
acres
To find the number of acres that will be harvested in 10 hours, we can set up a proportion:
180 acres / 6 hours = x acres / 10 hours
Cross-multiplying, we get:
6 * x = 180 * 10
Simplifying, we have:
6x = 1800
Dividing both sides by 6, we get:
x = 300
Therefore, the John Deere combine machine will harvest 300 acres in 10 hours.
To find out how many acres will be harvested in 10 hours, we first need to determine the harvest rate per hour.
To do this, we divide the number of acres harvested (180 acres) by the number of hours it took to harvest them (6 hours):
180 acres / 6 hours = 30 acres/hour
Now that we know the harvest rate per hour is 30 acres, we can calculate the total number of acres that will be harvested in 10 hours by multiplying the harvest rate by the number of hours:
30 acres/hour * 10 hours = 300 acres
Therefore, the John Deere combine machine will harvest 300 acres in 10 hours.
To solve this problem, we need to determine the rate at which the John Deere combine machine harvests the wheat.
The given information tells us that the machine can harvest 180 acres of wheat in 6 hours. We can use this information to find the harvesting rate in acres per hour.
To find the harvesting rate, we divide the number of acres by the number of hours it took to harvest them:
Harvesting rate = Number of acres / Number of hours = 180 acres / 6 hours = 30 acres per hour.
Now that we have the harvesting rate, we can calculate how many acres will be harvested in 10 hours.
To find the number of acres harvested in 10 hours, we multiply the harvesting rate by the number of hours:
Number of acres harvested = Harvesting rate * Number of hours = 30 acres per hour * 10 hours = 300 acres.
Therefore, in 10 hours, the John Deere combine machine will harvest 300 acres of wheat.