Question

the Kimball family. is going on a biking trip next they went to bike to Baltimore 27 1/2 mile away from their home they only want to travel 18 1/8 miles each day how many Will it take the Kimball family to get to Baltimore​

Answer 1

It takes 1.5 days for the Kimball family to get to Baltimore

Explanation:

Given:

Total distance from the home to Baltimore =
`27 (1)/(2)`

Distance they would travel on each day =
`18 (1)/(8)`

To Find:

How many days it will take the Kimball family to reach Baltimore = ?

Solution:

Lets first convert mixed fraction into fraction

`27 (1)/(2)` =
`(2 * 27 + 1)/( 2)` =
`(54+1)/(2)` =
`(55)/(2)`

`18(1)/(8)` =
`(18 * 8 +1 )/(8)` =
`(144+1)/(8)`=
`(145)/(8)`

Now,

In one day =
`(145)/(8)`

In x day =
`(55)/(2)`

By Cross multiplication

`(55)/(2) = x * (145)/(8)`

`x = (55)/(2) * (8)/(145)`

`x = (220)/(145)`

`x = (44)/(29)`

x = 1.517

x = 1. 5 days