in her kayak bunny can travel 70 miles downstream with the current in 5 hours. the return trip against the current takes 7 hours. find the speed of the kayak in Stillwater and the speed of the current​

9514 1404 393

Step-by-step explanation:

Bunny's rate downstream is ...

  (70 mi)/(5 h) = 14 mi/h = k + c

Bunny's rate upstream is ...

  (70 mi)/(7 h) = 10 mi/h = k -c

The kayak speed is the average of these:

  (14 mi/h +10 mi/h)/2 = ((k +c) +(k -c))/2

  (24 mi/h)/2 = 2k/2

  12 mi/h = k

Then the current speed is ...

  c = k -10 = 12 -10 = 2 . . . . mi/h

The still-water speed of the kayak is 12 mi/h; the speed of the current is 2 mi/h.

Additional comment

World-class kayak paddlers will not maintain a speed more than 8 mi/h for that distance and/or time (140 miles in 12 hours). Bunny is exceptional.

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

answer: c i think

step-by-step explanation: