Step-by-step explanation:
Let's say b is the rate of the boat in still water, and c is the rate of the current.
Distance = rate × time
Going upstream:
100 = (b − c) (5)
20 = b − c
Going downstream:
100 = (b + c) (2)
50 = b + c
Solve the system of equations using substitution or elimination. Using elimination, add the equations together:
70 = 2b
b = 35
c = 15
The boat's speed is 35 km/h, and the current's speed is 15 km/h.
The area would be 1/2 the original
The pythagorean theorem equation is a^2 (a squared) + b^2 (b squared) = c^2 (c squared)
so a^2+b^2=c^2
Answer:
Step-by-step explanation:
Let the initial price be x
<u>Then the reduced price is </u>
<u>If 5 mugs cost $28.20, we have equation:</u>
- (x - 1.75)*5 = 28.20
- x - 1.75 = 28.20/5
- x - 1.75 = 5.64
- x = 1.75 + 5.64
- x = 7.39
Initial price for 1 mug was $7.39
