Question

Jimmy is trying to dive down and touch the bottom of the pool. On his first try he makes it 1/3 of the way to the bottom. On his second try he makes it 3/5 of the way to the bottom. Jimmys second dive was deeper than his first dive by what fraction of the pool?

Answer 1

Jimmy's second dive was
`(4)/(15)` of the pool deeper than the first one

Step-by-step explanation:

We are given that:

First dive was
`(1)/(3)` of the way to the bottom

Second dive was
`(3)/(5)` of the way to the bottom

We know that the second dive was deeper than the first one since
`(3)/(5) > (1)/(3)`

To know how much deeper the second dive was compared to the first one, we will simply subtract the depth of the first dive from that of the second one

Therefore:

The second dive was
`(3)/(5) - (1)/(3) = (9)/(15) - (5)/(15) = (4)/(15)` of the pool deeper than the first one

Hope this helps :)