You start driving north for 48 miles, turn right, and drive east for another 14 miles. At the end of driving, what is your strai
ght line distance from your starting point?
2 answers:
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Answer:
a)
b) 54
Step-by-step explanation:
a)
If one quantity, A, is jointly proportional to other 2 quantities (B & C), we can write proportionality equation as:
Where
k is the proportionality constant
Now, for this problem, P is jointly proportional to A and CUBE OF V, so we can write:
b)
Now velocity, V, is triples, which means it becomes 3V
Also, cross sectional area, A, is doubled, which means it becomes 2A
Let's put these into formula and see the difference:
So, power is multiplied by a factor of 54. Power becomes 54 times if Area is doubled and velocity is tripled ( as seen ).
Answer:
(i). Average speed = 75 km per hour
(ii). Average speed = 75 km per hour
Step-by-step explanation:
This question is incomplete; here is the complete question.
A train traveled from station A to station B at an average speed of 80 kilometers per hour and then from station B to station C at an average of 60 kilometers per hour. If the train did not stop at station b, what was the average speed at which the train traveled from station A to C?
(i). The distance that the train traveled from station A to station B was 4 times the distance that train traveled from station B to station C.
(ii). The amount of time it took to the train to travel from station A to station B is 3 times the amount of time that it took the train to travel from station B to station C.
(i) Let the distance between station B and station C = x km
So the distance between Station A and station B = 4x km
Therefore, time to travel the distance x km with 80 km per hour =
=
Similarly time taken to travel between station B and station C with speed 60 km per hour = km per hour
Now average speed between station A and station C =
=
=
=
= 75 km per hour
(ii). Let the train took the time to cover the distance between station B and station C = t hours
Therefore, time taken by the train between station A and B = 3t
Distance between Station A and station B = Speed × time
= 80 × 3t
= 240t km
Similarly distance between station B and station C = 60 × t
= 60t
Now average speed between station A and station C =
=
= 75 km per hour