Maths-
General
Easy
Question
Natasha spent a total of n minutes doing her job of processing ID card applications and driver's license applications. It takes her 15 minutes to process ID card applications and 20 minutes to process driver's license applications. The given graph represents all possible combinations of the number of ID card applications and driver's license applications that could have been proceed by her in the n minutes.
What is the value of n?
- 720
- 540
- 420
- 360
The correct answer is: 540
Time taken for ID card Application processing + Time taken for driver's license application processing = n
We are given certain points on the graph that fulfils the above condition. We will substitute these points in the equation and solve for LHS = RHS
Step-by-step solution:-
Let the number of ID card applications processed by Natasha be "x" and
the number of driver's license applications processed by Natasha be "y"
∴ Time taken on ID card applications = 15x
& Time taken on ID card applications = 20y
Now, as per the given condition,
15x + 20y = n ________________________ (equation i)
Final Answer:-
Every option other than B does not satisfy the condition in equation i for atleast 1 point
Hence, value of n is 540 minutes.
Option B i.e. 540 is the correct Option.
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