Question

(a) Estimate the time it would take to fill a private swimming pool with a capacity of 80,000 L using a garden hose delivering 60 L/min. (b) How long would it take to fill if you could divert a moderate size river, flowing at 5000 m3/s, into it?

Final Answer
22 h
0.016 s

Answer 1

a. Time to fill the swimming pool is 22,22 h.

b. Time to fill the swimming pool is 0,016 h.

Step-by-step explanation:

a.

V=80,000L

Speed=60L/min

Converting minutes into hours:

`Speed=60 (L)/(min) (60 min)/(1h)=3600 (L)/(h)`

`Time=(Capacity)/(Speed) \\Time=(80,000 L)/(3600 L/h) \\Time= 22,22 h`

Time to fill the swimming pool is 22,22 h.

b.

River speed= 5000m3/s

Converting
`m^(3) /sec` into
`L/sec`

`5000(m^(3) )/(sec).(1000 L)/(1 m^(3) )= 5000000(L)/(sec)`

`Time=(Capacity)/(Speed) \\Time=(80,000 L)/(5000000 L/sec) \\Time= 0,016 sec`

Time to fill the swimming pool is 0,016 sec.