Answer:
12.8mph
Step-by-step explanation:
Let 'w' represent her walking speed
->if her jogging speed is 8mph faster than her walking speed
Jogging speed= w+8
Using the time equation i.e time = dist/speed
For walking when distance is 8miles
time = dist / speed= 8/w hrs
For jogging when distance is 13miles
time = dist / speed= 13/(w+8) hrs
Equating the time
jog time = walk time
13/(w+8) = 8/w
By cross multiplying it
13w = 8w + 64
5w = 64
w=64/5
w=12.8mph
Therefore, 12.8mph is her walking speed.
Note: The third term of the sequence should be
instead of
, otherwise the sequence has no common ratio.
Given:
The given sequence is

To find:
The common ratio of the given sequence.
Solution:
The quotient of each pair of consecutive terms are:

Similarly,


And,


Therefore, the common ratio of the given sequence is
or 0.75.