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A worker may claim ₹1.5 for each km which he travels by taxi and 50 paise for each km he drives his own car. If in one week he claimed ₹ 50 for travelling 80 km, how many kms did he travel by taxi?
  • a)
    20 km
  • b)
    14 km
  • c)
    12 km
  • d)
    10 km
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A worker may claim 1.5 for each km which he travels by taxi and 50 pai...
Let Distance travelled by taxi x km and by our car be y km ATQ
x + y = 80 ......(i)
1.5x + .5y = 50 .....(ii)
Multiplying Eq(i) by .5 and subtracting Eq(ii) from (i)
x = 10
Distance travelled by taxi is 10 Km
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Most Upvoted Answer
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.
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A worker may claim 1.5 for each km which he travels by taxi and 50 paise for each km he drives his own car. If in one week he claimed 50 for travelling 80 km, how many kms did he travel by taxi?a)20 kmb)14 kmc)12 kmd)10 kmCorrect answer is option 'D'. Can you explain this answer?
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A worker may claim 1.5 for each km which he travels by taxi and 50 paise for each km he drives his own car. If in one week he claimed 50 for travelling 80 km, how many kms did he travel by taxi?a)20 kmb)14 kmc)12 kmd)10 kmCorrect answer is option 'D'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about A worker may claim 1.5 for each km which he travels by taxi and 50 paise for each km he drives his own car. If in one week he claimed 50 for travelling 80 km, how many kms did he travel by taxi?a)20 kmb)14 kmc)12 kmd)10 kmCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A worker may claim 1.5 for each km which he travels by taxi and 50 paise for each km he drives his own car. If in one week he claimed 50 for travelling 80 km, how many kms did he travel by taxi?a)20 kmb)14 kmc)12 kmd)10 kmCorrect answer is option 'D'. Can you explain this answer?.
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