Answer:
Rate of Bill's boat = 14 miles per hour
Speed of the current = 2 miles per hour
Step-by-step explanation:
Let x = the rate of the boat in still water and y = the rate of the current.
Distance traveled = 24 miles
Time taken for upstream motion = 2 hour
Time taken for downstream motion = 1.5 hour
Velocity of upstream motion = x - y
Velocity of downstream motion = x + y
We have
Displacement = Time x Velocity
Upstream motion
24 = 2(x-y)
x - y = 12 ----------------------------eqn 1
Downstream motion
24 = 1.5(x+y)
x + y = 16 ----------------------------eqn 2
eqn 1 + eqn 2
2 x = 28
x = 14 miles per hour
Substituting in eqn 2
14 + y = 16
y = 2 miles per hour
Rate of Bill's boat = 14 miles per hour
Speed of the current = 2 miles per hour
The general form for Pythagoras' theorem is: a² + b² = c² (where c is the longest side).
You already have sides a and b, and to figure out c, you just have to substitute the numbers into the original equation and work it out step by step. Let's substitute a for 17 and b for 24:
a² + b² = c²
(17)² + (24)² = c²
289 + 576 = c²
865 = c²
Square root both sides to work out c:
√865 = √(c²)
c = √865 ≈ 29.41
This = number of pea pods times number of peas in the pea pod times number of workers
2400 * 6 * 9 = 129,600 peas.
Answer:
Step-by-step explanation:
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