or
or
Let x and y be the respective km's travelled by man via taxi and by his own car.
Given x + y = 135 => x = 135- y
But according to the question,
7x + 6y = 900
7(135-y) + 6y = 900
=> 945 - 7y + 6y = 900
=> y = 945 - 900= 45
=> x = 135 - 45 = 90
Therefore, the distance travelled by taxi is 90 km.
To find out how many kilometers the employee traveled by taxi, we can set up and solve a system of equations based on the given information.
Let's denote:
- \( x \) = kilometers traveled by taxi
- \( y \) = kilometers traveled by own car
We have two pieces of information:
1. Total distance traveled: \( x + y = 135 \) km
2. Total claim amount: \( 7x + 6y = 900 \) Taka
We can solve these equations step by step:
1. Solve the first equation for \( y \):
\[ y = 135 - x \]
2. Substitute \( y \) in the second equation:
\[ 7x + 6(135 - x) = 900 \]
3. Distribute and simplify:
\[ 7x + 810 - 6x = 900 \]
\[ x + 810 = 900 \]
\[ x = 900 - 810 \]
\[ x = 90 \]
So, the employee traveled 90 kilometers by taxi.
