Answer:
Tap A 3hrs
Tap B 6hrs
Step-by-step explanation:
Let the volume of the swimming pool be Xm^3.
Now, to get the appropriate volume, we know we need to multiply the rate by the time. Let the rate of the taps be R1 and R2 respectively, while the time taken to fill the swimming pool be Ta and Tb respectively.
x/Ta= Ra
x/Tb= Rb
X/(Ra + Rb)= 2
Ta = Tb - 3
From equation 2:
X = 2( Ra + Rb)
Substituting the values of Ra and Rb Using the first set of equations
X = 2( x/Ta + x/Tb)
But Ta = Tb - 3
1/2 = 1/(Tb - 3)+ 1/Tb
0.5 = (Tb + Tb-3)/Tb(Tb - 3)
At this juncture let’s say Tb = y
0.5 = (2y - 3)/y(y - 3)
y(y-3 ) = 4y - 6
y^2 -3y - 4y + 6 = 0
y^2 -7y + 6= 0
Solving the quadratic equation, we get y =
y = Tb = 6hrs or 1hr
We remove one hour as we know that Tap A takes 3hrs left than tap B and there is nothing like negative hours
Now, we get Ta by Tb -3 = 6 - 3 = 3hrs
36 apples, you need to multiply 9 and 4 since there are 9 pies and 4 apples in each pie
Answer:
63 sandwiches
Step-by-step explanation:
Pete and his friend Danny volunteered to bring sandwiches for lunch at a homeless shelter
They brought 7 loaves of bread
Each loaves have 18 slices
They used 2 slices each to make the sandwich
The first step is to calculate the total number of slices
Sinces 7 loaves of bread are used and each of them contain 18 slices then, the total number of slices can be calculated as follows
= 7 ×18
= 126 slices
Therefore since 2 slices of bread is used to make one sandwich then, the number of sandwiches that was made can be calculated as follows
= 126/2
= 63
Hence 63 sandwiches were made for the shelter
