Formulate the following problem as a part of equations, and hence find theirsolution.Ray travels 300 km to her home partly by train and partly by bus. She takes 4 hours if she travels 60 km by train and the remaining by bus. If she travels 100 km by train and the remaining by bus, she takes 10 minutes longer. Find the speed of the train and the bus separately.
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Formulate the following problem as a part of equations, and hence find their
solution.
Ray travels 300 km to her home partly by train and partly by bus. She takes 4 hours if she travels 60 km by train and the remaining by bus. If she travels 100 km by train and the remaining by bus, she takes 10 minutes longer. Find the speed of the train and the bus separately.
The formula relating speed, distance and time is,
Let the speed of the train be u km/h and speed of the bus be v km/h. Then, the following equations can be formulated from the given data.
Assume the following and reduce the equations (1) and (2) as follows.
Step by step
Solved in 6 steps with 6 images
