Scooter charges at a certain place consists of fixed charges and the remainine depending upon the
distance travelled in kilometers. If a person travels 10 km, he pays R 28 and for wavelling
* Formulate simultaneous equations and hence find the fixed charges and the rate per km
Answers
Step-by-step explanation:
Given Scooter charges at a certain place consists of fixed charges and the remaining depending upon the distance travelled in kilometers. If a person travels 10 km, he pays R 28 and for travelling 16 km he pays Rs 43. Formulate simultaneous equations and hence find the fixed charges and the rate per km
- Let x be the fixed charge and y be the charge dependent on distance per km
- Now travelling 10 km total charge as Rs 28
- So equation will be x + 10 y = 28-----------1
- After travelling 16 km total charge was Rs 43
- So equation will be x + 16y = 43------------2
- Now subtracting the equations we get
- So x + 10 y = 28
- So x + 16 y = 43
- -6y = - 15
- So y = 5/2
- Substituting y = 5/2 in the above equation we get
- So x + 10 y = 28
- So x + 10 (5/2) = 28
- So x + 25 = 28
- Or x = 28 – 25
- Or x = 3
So fixed charge is Rs 3 and charge dependent on distance is Rs 2.50
Reference link will be
https://brainly.in/question/4579814
Answer:
Step-by-step explanation:
Given Scooter charges at a certain place consists of fixed charges and the remaining depending upon the distance travelled in kilometers. If a person travels 10 km, he pays R 28 and for travelling 16 km he pays Rs 43. Formulate simultaneous equations and hence find the fixed charges and the rate per km
Let x be the fixed charge and y be the charge dependent on distance per km
Now travelling 10 km total charge as Rs 28
So equation will be x + 10 y = 28-----------1
After travelling 16 km total charge was Rs 43
So equation will be x + 16y = 43------------2
Now subtracting the equations we get
So x + 10 y = 28
So x + 16 y = 43
-6y = - 15
So y = 5/2
Substituting y = 5/2 in the above equation we get
So x + 10 y = 28
So x + 10 (5/2) = 28
So x + 25 = 28
Or x = 28 – 25
Or x = 3
So fixed charge is Rs 3 and charge dependent on distance is Rs 2.50