Question

Kelly hiked in the woods it took her 1/14 hour to walk 1/4 mile after she snacked she walked another 1/6 mile in 1/16 hour

Choose true or false for each statement

Answer 1

My best answer would be False,True, False, False

Answer 2

General Idea:

The relationship between rate(R), distance(D) and time(T) given below:

`R= (D)/(T)`

Applying the concept:

We need to make use of the formula to find Kelly's walking rate before and after her snack

`Kelly \; Walking \; Rate \; before \; Snack:\\Distance / Time = (1)/(4)  / (1)/(14)  =  (1)/(4)  * (14)/(1)  = (14)/(4)  = (7)/(2)  =  3 (1)/(2) \;   miles \; per \; hour\\\\Kelly \; Walking \; Rate \; after \; Snack:\\Distance / Time = (1)/(6)  / (1)/(16)  =  (1)/(6)  * (16)/(1)  = (16)/(6)  = (8)/(3)  =  2 (2)/(3) \;   miles \; per \; hour\\\\`

Option A isn't correct because before snack Kelly walking rate is not 4/14 miles per hour.

Option B is Correct, Kelly walking rate after snack is 2 2/3 miles per hour.

Option C isn't correct because it doesn't took Kelly 2 hours longer to walk 1/6 mile than it did for her to walk 1/4 mile. It took 1/112 hour longer.

`(1)/(14)  - (1)/(16)  = (1 \cdot 8)/(14 \cdot 8)  - (1 \cdot 7)/(16 \cdot 7)  =  (8)/(112) - (7)/(112)  = (1)/(112)`

Option D isn't correct because 2 2/3 miles per hour is slower than 3 1/2 miles per hour.

Conclusion:

Option B is Correct, Kelly walking rate after snack is 2 2/3 miles per hour.