1. difference between 2 numbers is 16 and sum of their squares is 130. what are the numbers?
a -b =16, a^2 + b^2 =130, solve for a, b
a =9, b= -7
2. perimeter of rectangle is 50cm and area is 144cm^2. find length and width
Let length=L
Let width =W
2[L+W] =50
L x W =144, solve for L, W
L=16cm, W=9cm
3. man travels 196km by train and returns in a car that travels 21km/h faster. if total journey took 11hrs, find speeds of train and car
Let the speed of the train=S
The speed of the car =S+21
196/S + 196/(S+21) =11, solve for S
S=28 km/h - the speed of the train.
28+21=49km/h - the speed of the car.
196/28 =7 hours - the trip by train
196/49 =4 hours - the trip by car