B) The time, T (in minutes) taken for a stadium to empty varies directly as the number of spectators, S. And inversely as the nu mber of open exits, E.It takes 12 minutes for a stadium to empty when there are 20,000 spectators and 20 open exits. How long does it take the stadium to empty when there are 36.000 spectators and 24 open exits.
1 answer:
Answer:
18 minutes
Step-by-step explanation:
Given that the time (T) varies directly as the number of spectators (S) and varies inversely as number of open exits (E).
Hence:
T ∝ S; T ∝ 1 / E
Let k be the constant of proportionality. This gives:
T = kS / E
when T = 12 minutes, S = 20000, E = 20. Hence:
12 = k(20000) / 20
20000k = 240
k = 12 / 1000
This gives:
T =
When S = 36000, E = 24, we are to calculate the time (T):
T = 18 minutes
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Answer: 2/7 = 8/28
1/4 = 7/28
Therefore Mr Pham mowed more.
8+7 = 15 so 15/28 of lawn has been mowed, therefore 13/28 of the lawn is left still to be mowed.
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-18/19