need help

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need help

by vinukk » Thu Aug 15, 2013 9:11 am
A truck rental agency has the following terms.if a truck is rented for 8 hours or less the charge is $100 per hour or $8 per km whichever is more. on the other hand, if the truck is rented for more than 8 hours, the charge is $80 per hour or $6 per km whichever is more. a company rented the truck from the agency, and used it for 120 km and paid $800. for how many hours did the company rent the truck?
1)6
2)8
3)10
4)12
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by GMATGuruNY » Thu Aug 15, 2013 9:25 am
vinukk wrote:A truck rental agency has the following terms.if a truck is rented for 8 hours or less the charge is $100 per hour or $8 per km whichever is more. on the other hand, if the truck is rented for more than 8 hours, the charge is $80 per hour or $6 per km whichever is more. a company rented the truck from the agency, and used it for 120 km and paid $800. for how many hours did the company rent the truck?
1)6
2)8
3)10
4)12
We can plug in the answers, which represent the number of hours.

If a truck is rented for 8 hours or less the charge is $100 per hour or $8 per km, whichever is more.
A: 6 hours
($100)(6 hours) = 600.
($8)(120 km) = 960.
Since $960 is greater, the cost here is $960.
Eliminate A.

B: 8 hours
($100)(8 hours) = 800.
($8)(120 km) = 960.
Since $960 is greater, the cost here is $960.
Eliminate B.

If the truck is rented for more than 8 hours, the charge is $80 per hour or $6 per km, whichever is more.
C: 10 hours
($80)(10 hours) = 800.
($6)(120 km) = 720.
Since $800 is greater, the cost here is $800.

The correct answer is C.
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