Question:
A car rental agency has the following terms. If a car is rented for 5 hr or less, the charge is Rs. 60 per hour or Rs. 12 per kilometre whichever is more. On the other hand, if the car is rented for more than 5 hr, the charge is Rs. 50 per hour or Rs. 7.50 per kilometre whichever is more. Akil rented a car from this agency, drove it for 30 km and ended up paying Rs. 300. For how many hours did he rent the car?
A car rental agency has the following terms. If a car is rented for 5 hr or less, the charge is Rs. 60 per hour or Rs. 12 per kilometre whichever is more. On the other hand, if the car is rented for more than 5 hr, the charge is Rs. 50 per hour or Rs. 7.50 per kilometre whichever is more. Akil rented a car from this agency, drove it for 30 km and ended up paying Rs. 300. For how many hours did he rent the car?
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To find the rental cost, compare the charges based on both distance and time, and use the maximum value for cost.
Updated On: Aug 4, 2025
- 4 hr
- 2.5 hr
- 6 hr
- None of these
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The Correct Option is C
Solution and Explanation
For the first case where the charge is Rs. 60 per hour, the total cost for renting for 5 hours is:
\[
60 \times 5 = 300.
\]
For the second case, the total cost is Rs. 7.5 per kilometre, so:
\[
7.5 \times 30 = 225.
\]
Thus, the cost for driving 30 km and renting for 6 hours is Rs. 300. Hence, the total time is 6 hours.
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