SOLUTION: A turtle is walking around the perimeter of a fountain, starting at point A as shown. It takes the turtle 22 seconds to walk to point B, which is at angle of 24° from the starting

Question 1196923: A turtle is walking around the perimeter of a fountain, starting at point A as shown. It takes the turtle 22 seconds to walk to point B, which is at angle of 24° from the starting point. At this rate, how much longer will it take for the turtle to reach point C, which is exactly half-way around the perimeter of the fountain?
Answer by ikleyn(52787)   (Show Source): You can put this solution on YOUR website!
.
A turtle is walking around the perimeter of a fountain, starting at point A as shown.
It takes the turtle 22 seconds to walk to point B, which is at angle of 24°
from the starting point. At this rate, how much longer will it take for the turtle
to reach point C, which is exactly half-way around the perimeter of the fountain?
~~~~~~~~~~~~~~~~

        Hello, when you say " . . . point C, which is exactly half-way around the perimeter of the fountain? ",
        it is not a definitive description of point C.

        You should say " half-way around the perimeter starting from point A or from point B ".

        I will interpret it as if point C is half-way around the perimeter starting from point A.

Let T be this additional time for the turtle to get from B to C.

The arc BC is 180° - 24° = 156°.


Use the proportion   = .


From the proportion, find  T =  = 143 seconds.


ANSWER.  143 seconds to get from B to C.

Solved.

Is everything clear to you ?

RELATED QUESTIONS
A turtle can walk 1/12 of a mile in one hour. The turtle is 5/6 miles away from the pond. (answered by vleith)

a turtle can walk 12 miles in 3 hour. What is average speed of the... (answered by ewatrrr)

A rabbit and a turtle had a race. They started together at the same time and place. When... (answered by Aust05)

A turtle travels 20m in 8minutes. How long does it take for the turtle to travel... (answered by jim_thompson5910)

A turtle is moving in a straight line at a steady speed of 24 cm/sec for 2 hours. How far (answered by sofiyac)

The turtle and the hare have a race that is 1 mile long. The turtle plods along steadily (answered by Earlsdon)

A rabbit and a turtle were to start at the same place. the rabbit was feeling very... (answered by checkley79,Edwin McCravy)

A Turtle and a Snail are 360 meters apart, and they start to move towards each other at 3 (answered by josmiceli)

Joanne sets up her Ninja turtles in a big circle with each turtle spaced an equal... (answered by josmiceli)