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A truck can be rented from Company A for $60 a day plus $0.30 per mile. Company B charges $40 a day plus $0.80 per mile to rent the same truck. Find the number of miles in a day
at which the rental costs for Company A and Company B are the same.

Sagot :

Varshamittal029idn

The number of miles in a day at which the rental costs for Company A and Company B are the same will be 40 miles.

For company A:

Fixed rent for the truck is = $ 60

Per mile rate is = $ 0.30 per mile.

The equation for the rent of a truck will be:

60 + 0.30 x

For company B:

Fixed rent for the truck is = $ 40

Per mile rate is = $ 0.80 per mile.

The equation for the rent of a truck will be:

40 + 0.80 x

Now, the number of miles in a day at which the rental costs for Company A and Company B are the same will be:

60 + 0.30 x = 40 + 0.80 x

0.80 x - 0.30 x = 60 - 40

0.50 x = 20

x = 20 ÷ 0.50

x = 40

Therefore the number of miles in a day at which the rental costs for Company A and Company B are the same will be 40 miles.

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