Question

1) A colony of 1000 ants build a nest in 2 days. a) Assuming all ants work at the same rate, would it take 500 ants more or less time b) How long would it take 500 ants to build the same nest?c)how long would it take 2000 ants to build the same nest. d) how long would it take 400 ants to build the same nest​

Answers

  1. Answer:
    a) More time
    b) 4 days
    c) 1 day
    d) 5 days
    Step-by-step explanation:
    The number of  days(d) taken for N ants to build a nest is inversely proportional to the number of ants. More ants less time, less ants more time
    We can state this using the equation N/1000 = 2/d So the number of days for N ants to build the nest is d = 2000/N
    a) 500 ants take more time to build the nest
    b) Number of days taken for 500 ants  is double that for 1000 ants so 4 days
    c) For 2000 ants, the completion time is halved so it takes 1 day
    d) For 400 ants use the equation d = 2000/N = 2000/400 = 5 days

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