If Jay takes 7 hours to harvest a field alone and Kayla can harvest the same field in 5 hours, how long would it take them if they worked together? (Round off to 2 decimal places)
Let x be the time for Jay and Kayla to finish harvesting the field together.
Equation:
It will took them _____ hours to finish the job together.
Answers & Comments
Verified answer
Answer:
1/7 + 1/5 = 1/x
5x + 7x = 35
12x = 35
x = 2.92 hours
Step-by-step explanation:
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ANSWER:
To find the time it takes for Jay and Kayla to finish harvesting the field together, we need to use the formula for calculating the time it takes for two people to complete a task when working together. This formula is:
Time for both people = 1 / (1/time for person 1 + 1/time for person 2)
In this case, we can plug in the values for Jay and Kayla's individual times to find the time it takes for them to work together:
Time for both people = 1 / (1/7 hours + 1/5 hours) = 1 / (0.14 + 0.2) = 1 / 0.34 = 2.94 hours
Therefore, it will take Jay and Kayla approximately 2.94 hours to finish harvesting the field if they work together.
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