A worker may claim 1.5 for each km which he travels by taxi and 50 pai...
Given Information:
A worker can claim 1.5 for each km traveled by taxi and 50 paise for each km driven in his own car. In one week, he claimed 50 for traveling 80 km.
To Find:
The number of kilometers he traveled by taxi.
Assumptions:
Let's assume the worker traveled x km by taxi and y km by his own car.
Calculation:
The total amount claimed by the worker is 50.
According to the given information, the worker can claim 1.5 for each km traveled by taxi and 50 paise for each km driven in his own car.
So, the equation can be formed as:
1.5x + 0.5y = 50
Multiplying the equation by 2 to eliminate the decimal:
3x + y = 100
Since the worker traveled a total of 80 km, we can write another equation:
x + y = 80
Solving the two equations simultaneously, we can find the values of x and y.
Multiplying the second equation by -3:
-3x - 3y = -240
Adding this equation to the first equation:
3x + y + (-3x - 3y) = 100 + (-240)
Simplifying the equation:
-2y = -140
Dividing both sides of the equation by -2:
y = 70
Substituting the value of y in the second equation:
x + 70 = 80
Subtracting 70 from both sides of the equation:
x = 10
Conclusion:
The worker traveled 10 km by taxi.