Answer :
90 minutes or 1.5 hours
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Determine individual rates of production and then combine these rates.
Larry makes 27 clay cats in 45 minutes, which can be simplified to:
- Larry's rate = (27 cats / 45 minutes) = (27 / 45) cats/minute = 0.6 cats/minute
Tom makes 60 clay cats in 2 hours (120 minutes), which can be simplified to:
- Tom's rate = (60 cats / 120 minutes) = (60 / 120) cats/minute = 0.5 cats/minute
Working together, their combined rate is:
- Larry + Tom's rate = (0.6 cats/minute + 0.5 cats/minute) = 1.1 cats/minute
To make 99 clay cats together at the combined rate of 1.1 cats/minute, you divide the total number of cats by the combined rate:
- Time required = (99 cats) / (1.1 cats/minute) = 90 minutes, or 1 hour and 30 minutes
Final answer:
Larry and Tom have a combined rate of making clay cats at 1.1 cats per minute. It would take them 90 minutes to make 99 clay cats together.
Explanation:
To determine how long it takes Larry and Tom to make 99 clay cats together, we first need to calculate each person's rate of making clay cats per minute and then combine their rates.
Larry makes 27 clay cats in 45 minutes, so his rate is:
Larry's rate = 27 cats / 45 minutes = 0.6 cats per minute.
Tom makes 60 clay cats in 2 hours (120 minutes), so his rate is:
Tom's rate = 60 cats / 120 minutes = 0.5 cats per minute.
Working together, their combined rate is:
Combined rate = Larry's rate + Tom's rate = 0.6 cats/minute + 0.5 cats/minute = 1.1 cats per minute.
To find out how long it will take them to make 99 clay cats at this combined rate, we divide the total number of cats by the combined rate:
Time to make 99 cats = 99 cats / 1.1 cats per minute = 90 minutes.
Therefore, working together, Larry and Tom can make 99 clay cats in 90 minutes.
