Question

After raining for 3/4 of an hour a rain gauge is 2/5 filled if it continues to rain at that rate for 15 more minutes. Wath fraction of the rain gauge will be filled

Answer 1

`(8)/(15)` part of rain gauge is filled after 1 hour.

Step-by-step explanation:

Given:

After raining for
`(3)/(4)` of an hour a rain gauge is
`(2)/(5)` filled

To Find:

The fraction of the rain gauge that will be filled if it continues to rain at rate for 15 more minutes=?

Solution:

We know that, 15 minutes are
`(1)/(4)` of a hour

Then, we have to find the fraction of rain gauge filled after
`(1)/(4)` of hour more,

Then, we have to find after
`(3)/(4)` of hour +
`(1)/(4)` of hour is 1 hour.

Now,
`(3)/(4)` hour =
`(2)/(5)` of rain gauge

In 1 hour n of rain gauge is filled.

Then, n x
`(3)/(4)` =
`(2)/(5)` x 1

n =
`(3)/(4)`\times
`(3)/(4)`

n =
`(8)/(15)`

Hence,
`(8)/(15)` part of rain gauge is filled after 1 hour.