To find out how long it would take Khalil and Teddy to complete a one-hour presentation if they work together, we can use their rates of work.
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Determine Individual Rates:
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Khalil takes 10 hours to complete a one-hour presentation, so his rate is: \[ \text{Khalil's rate} = \frac{1 \text{ presentation}}{10 \text{ hours}} = 0.1 \text{ presentations per hour} \]
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Teddy takes 8 hours to complete a one-hour presentation, so his rate is: \[ \text{Teddy's rate} = \frac{1 \text{ presentation}}{8 \text{ hours}} = 0.125 \text{ presentations per hour} \]
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Combine Rates: When they work together, their rates add up: \[ \text{Combined rate} = \text{Khalil's rate} + \text{Teddy's rate} = 0.1 + 0.125 = 0.225 \text{ presentations per hour} \]
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Calculate Time to Complete One Presentation: To find out how long it takes them to complete one presentation together, we use the formula: \[ \text{Time} = \frac{1 \text{ presentation}}{\text{Combined rate}} = \frac{1}{0.225} \text{ hours} \]
Now, calculate \( \frac{1}{0.225} \): \[ \text{Time} \approx 4.44 \text{ hours} \]
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Conclusion: It would take Khalil and Teddy approximately 4.44 hours (or about 4 hours and 26 minutes) to complete a one-hour presentation if they work together.
Summary:
When Khalil and Teddy work together, they can complete a one-hour presentation in about 4.44 hours.
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