A race is 25 miles long. There is a water station every 1 1/4 miles along the race route. How many water stations are needed for
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Answer:
The speed of the river's current is 4.5 km/hr.
Step-by-step explanation:
Given : A fisherman traveled in a boat from point N upstream.
After having traveled 6 km, he stopped rowing and 2 hour 40 min after first leaving N, he was brought back to N by the current.
Knowing that the speed of the boat in still water is 9 km/hour
To find : The speed of the river’s current.
Solution :
Let the speed of current = x km/h
Speed of boat = 9 km/h
Thus, the speed in upstream = (9 - x) km/h
Also, the speed in downstream = x km/h (because the boat is stationary in downstream)
Total distance = 6 km ( from N to the point he reached )
Total time = 2 hours 40 minutes
We know,
According to the question,
Taking LCM and 6 common
Take 6 to another side,
Cross multiply,
Taking 4 common and cancel out
Solve quadratic equation by middle term split,
Therefore, The speed of the river's current is 4.5 km/hr.
Answer:
f)
e)
d)
c)
b)
a)
Step-by-step explanation:
- m∠5 ≅ m∠4; Angle Correspondence Theorem
- m∠5 ≅ m∠1; Alternate Interior Angles Theorem
- m∠6 ≅ m∠2; Alternate Exterior Angles Theorem
- 180° = m∠2 + m∠1; Definition of Linear Pair [Supplementary Angles]
- 180° = m∠5 + m∠3; Definition of Linear Pair [Supplementary Angles]
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