Question

Mia and her neighbor use their garden goes to fill a pool. Mia and Lora can fill the pool in 16 hours. Lora fills the pool twice as fast as Mia. How long would it take Mia to fill the whole pool herself

Answer 1

Let r be the rate for Mia. Then the rate for Lora is 2r (as stated in the question).

Let the volume of the pool be V.

Then

V = 2r(16) + r(16)

V = 32r + 16r = 48r

rate = Volume / time

which implies that

time = Volume / rate

Let the time it takes Mia to fill the pool herself be t

Then

`t=(48r)/(r)=48\text{ hours}`

Therefore the time is 48 hours