Answer:
a) 36 miles
b) 3.3 hours
Step-by-step explanation:
Given:
Downwind speed of the bird = 12 mph
Time for travel = x hours
Speed at the return = 12 mph - 2 mph = 10 mph
Distance left = 3 miles
Now,
The distance covered at 12 mph = 12 × x = 12x
now,
distance covered with speed 10 mph in x hours = 10x
also,
10x + 3 = 12x
or
2x = 3
or
x = 1.5 hours
Therefore,
the distance of the entire trip = 2 × 12x = 2 × 12 × 1.5 = 36 miles
Now,
the time taken to complete remaining 3 miles while returning =
=0.3 hours
hence,
the total time for the entire trip = 2 × 1.5 + 0.3 = 3.3 hours