Question

The plane flew 346 miles in 2 1/4 hoursPart D. The airplane ride

Answer 1

We are given that a plane covers a distance of 346 miles in 2 1/4 hours. And we are asked to determine the ratio between distance and time. To do that we will divide the total distance over the amount of time, like this:

`r=\frac{346\text{miles}}{2(1)/(4)hour}`

Now, the time is expressed as a mixed fraction. We can rewrite it as a fraction using the following relationship:

`a(b)/(c)=a+(b)/(c)`

Applying the relationship we get:

`\frac{346\text{miles}}{2(1)/(4)hour}=\frac{346\text{miles}}{(2+(1)/(4))hour}`

Now, we add the fractions:

`\frac{346\text{miles}}{(2+(1)/(4))hour}=\frac{346\text{miles}}{(9)/(4)\text{hour}}`

Simplifying we get:

`\frac{346\text{miles}}{(9)/(4)\text{hour}}=\frac{4(346\text{miles)}}{9\text{hour}}=(1384miles)/(9hour)`

Now, solving the operation we get the unit rate:

`(1384miles)/(9hour)=153.\bar{7}mph`

Therefore, the unit rate is 157.7 mph.