A truck rental agency has the following terms. If a truck is rented fo

Question

A truck rental agency has the following terms. If a truck is rented for 8 hours or less the charge is RS.100 per hour or RS.8 per km whichever is more. On the other hand , if the truck is rented for more than 8 hours, the charge is RS.80 per hour or RS.6 per km whichever is more. A company rented a truck from the agency, and used it for 120 km and paid RS.800. For how many hours did the company rent the truck?

A. 6
B. 8
C. 10
D. 12
E. 14

A. 6
B. 8
C. 10
D. 12
E. 14

100mitra · Answer

(1) If a truck is rented for 8 hours or less the charge is RS.100 per hour or RS.8 per km whichever is more.

(2) if the truck is rented for more than 8 hours, the charge is RS.80 per hour or RS.6 per km whichever is more.

(3) A company rented a truck from the agency, and used it for 120 km and paid RS.800.

For how many hours did the company rent the truck?

Option A : 6 Hour 
Less than 8 Hours condition 
= Rs. 100*6 or Rs. 120*8
= Rs. 600 or Rs. 960 
Greater the value Rs. 960 is > than Rs.800
 Wrong

Option B : 8 Hour 
More than 8 Hour Condition 2 
= Rs. 8*80 or Rs. 120*8
= Rs. 640 or Rs. 960
Greater value Rs.960 is > Rs.800
 Wrong

Option C : 10 Hour 
More than 8 Hour Condition 2 
= Rs. 8*100 or Rs. 120*6
= Rs. 800 or Rs. 720
Greater value Rs.800 is equal to paid amount Rs.800
 Correct

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MathRevolution · Answer

The company has paid 800 as the total amount which is possible as 80 per hour for 10 hours.

As per km rate is 6 and total km is 120 so 6 * 120 = 720 is less than 800.

Answer C

egmat · Answer

Let me walk you through this step by step.

The agency has two pricing plans:

Plan 1  ( 8  hours or less): You pay the GREATER of  RS.100 /hour OR  RS.8 /km.
 Plan 2  (More than  8  hours): You pay the GREATER of  RS.80 /hour OR  RS.6 /km.

We know:  120  km driven,  RS.800  paid.

Step 1: Test Plan 1 (8 hours or less)

The km-based charge would be:  8  ×  120  =  RS.960 .
Since the rule says 'whichever is MORE,' the bill would be at least  RS.960 .
But the company only paid  RS.800 , which is less than  RS.960 .
 So Plan 1 is IMPOSSIBLE.

Step 2: Test Plan 2 (More than 8 hours)

The km-based charge would be:  6  ×  120  =  RS.720 .
The hour-based charge would be:  80  × hours.
Again, the company pays whichever is MORE.

Since they paid  RS.800 , and  RS.800  >  RS.720 , the hour-based charge must be the one that applied.

So:  80  × hours =  800 
hours =  800  ÷  80  =  10

Quick check: Is  10  greater than  8 ? Yes, so Plan 2 applies correctly.
Is max( 800 ,  720 ) =  800 ? Yes, matches the amount paid.

Answer: C   —  10  hours.

Key principle:  When a problem says 'whichever is more,' both conditions must be checked, and the larger value determines the bill. Use the given payment amount to rule out one plan entirely, then solve with the other.

Adit_ · Answer

Two conditions to check: <=8hrs or >=8hrs Use the options and check: Firstly 800/8=100 fitting first option BUT 120*8>800 hence the truck is taking >=8hrs. Check for 10 now: 800/10 = 80 fits the second case. 120*6=720<800 also fits. Answer: Option C

A truck rental agency has the following terms. If a truck is rented fo

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