Question

At 11:00 a.M., there are 400 members and 150 non-members visiting a museum. After 11:00 a.M., 10 members leave every five minutes and 5 non-members arrive every five minutes. What is the ratio of members to non-members at 1:00 p.M.?

Answer 1

`16:27`

Explanation:

GIVEN: At
`11:00\text{ A.M.}`, there are
`400` members and
`150` non-members visiting a museum. After
`11:00\text{ A.M.}`,
`10` members leave every five minutes and
`5` non-members arrive every five minutes.

TO FIND: ratio of members to non-members at
`1:00\text{ P.M.}`

SOLUTION:

Total number of members in museum at
`11:00\text{ A.M.}`
`=400`

as after every
`5` minutes
`10` members leave

total number of
`5` minutes interval in
`2` hour
`=(60)/(5)=12`

total members at
`1:00\text{ P.M.}`
`=400-10*24`

`=160`

Total number of non-members in museum at
`11:00\text{ A.M.}`
`=150`

as after every
`5` minutes
`5` non-members arrive

total number of
`5` minutes interval in
`2` hour
`=(60)/(5)=12`

total non-members at
`1:00\text{ P.M.}`
`=150+5*24`

`=270`

ratio of members to non-members at
`1:00\text{ P.M.}`
`=\frac{\text{number of members}}{\text{number of non-members}}`

`=(160)/(270)`

`=(16)/(27)`

Hence the ratio of members to non-members at
`1:00\text{ P.M.}` is
`(16)/(27)`