Question

A mouse scurries across your kitchen floor at 2.0 feet per second. How many miles can the mouse travel in 1.5 hours (rounded to the nearest tenth)?

Answer 1

Answer: The mouse can travel 2.045 miles .

Explanation:

Speed of mouse = 2.0 feet per second.

Time traveled by mouse = 1.5 hours = 1.5 × 3600 seconds [ as 1 hour = 3600 seconds]

Distance traveled by mouse in 1.5 hours = speed × time

= 2.0 × 1.5 × 3600 = 10800 feet.

We know that

1 mile = 5280 feet

then 1 foot = 1/5280 miles

Distance in miles =
`10800* (1)/(5280) miles=2.045miles`

Answer 2

Given

A mouse scurries across your kitchen floor at 2.0 feet per second.

Find out the mouse travel in 1.5 hours.

To proof

FORMULA

Distance = speed × time

`1foot = (1)/(5280) miles`

Convert feet per second into miles per second

`= (2.0)/(5280)`

As given in the question

Time = 1.5 hours

1 hours = 3600 second

Time convert in the second

Time = 1.5 × 3600 second

= 5400 second

put all these value in the above formula

we get

`Distance= (2.0* 1.5 * 3600)/(5280)`

`Distance= (10800)/(5280)`

= 2.04 (approx) miles

= 2.0 miles

Hence proved