Answer:
Option B is correct, i.e. The amount of water originally in Wilson's can was 2.5 gallons.
Step-by-step explanation:
Given is the graph of Amount of water (in gallons) v/s Time (in seconds).
It is a linear graph whose general equation is given as follows:-
y=mx+b.
Where y = Amount of water, x = Time, m = slope, b = y-intercept (when time is zero).
Finding slope of line, m = (2.3 - 2.5)/(1 - 0) = -0.2 gallons per second.
Finding y-intercept of line, b = 2.5 gallons (at t=0).
Hence, option B is correct, i.e. The amount of water originally in Wilson's can was 2.5 gallons.
Another way to write this is:
x = 23y + 5
xy = 6732
Now plug in the first equation into the second:
(23y + 5)y = 6732
23y^2 + 5y - 6732 = 0
Either use quadratic equation or factor:
(y - 17)(23y + 396) = 0
y = 17 or -396/23
You know you can automatically eliminate the second y because it's negative and you need the two integers to multiply to a positive number (6732).
Plug y = 17 back into either equation (second might be easier):
17x = 6732
x = 396
Answer:
It is graph A
Step-by-step explanation:
Correct question is;
Speed of a boat in standing water is 9 kmph and the speed of the stream is 1.5 kmph. A man rows to a place at a distance of 105 km and comes back to the starting point. The total time taken by him is:
Answer:
Total time = 24 hours
Step-by-step explanation:
We are given;
Speed of a boat in standing water = 9 kmph
Speed of the stream = 1.5 kmph
Distance rowed by the man; d = 105 km
He now came back to his starting point.
Thus, we can say that;
Speed upstream; V_up = 9 - 1.5 = 7.5 kmph
Speed downstream; V_down = 9 + 1.5 = 10.5 kmph
Now, we know that;
time = distance/speed
Thus;
Total time = time taken upstream + time taken downstrem
Total time = (105/7.5) + (105/10.5)
Total time = 14 + 10
Total time = 24 hours