Question

I will give brainiest to the best answer that gives answers to all questions below

Answer 1

Answer:

a) $\frac{d}{10} + \frac{d}{8} = 240$

b)  approx 1,066.67 feet (3200/3 feet)

Step-by-step explanation:

The bee has been away  for a total of 15 minutes from the hive but since it rested at the flowerbed for 11 minutes, the total travel time is 15-11 = 4 minutes.

Since units are expressed in feet per second, we have to convert 4 minutes to seconds which works out to 240 seconds

The basic equation for distance, d  traveled by an object traveling at speed of s is given by d = st  where t is the time taken to traverse distance d

Alternatively we can write this equation as    

$t = \frac{d}{s}$

Travel time from hive to flowerbed at 10 feet/sec =    $\frac{d}{10}$ seconds

Travel time from flowerbed to hive at 6 feet/sec =  $\frac{d}{8}$ seconds

Total travel time is the sum of the above and can be expressed by the equation

$\frac{d}{10} + \frac{d}{8} = 240$

Multiplying throughout by 40 we can get rid of the denominators. We get

4d + 5d = 240 x 40 = 9600

9d = 9600

d = 9600/9 = 3200/3 feet ≈ 1,066.67 feet