Answer:
a)
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
Travel time from hive to flowerbed at 10 feet/sec = seconds
Travel time from flowerbed to hive at 6 feet/sec = seconds
Total travel time is the sum of the above and can be expressed by the equation
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