Question

Sita and simian wanted to go for a vacation with their families they booked two cars individually in zoom car.com .
The rent of the car for 12 hours is fixed and above that and additional amount will be collected for every hour.Sita paid RS 4600 for 17 hours while Simran paid Rs 3800 for 13 hours . Calculate the fixed charge and extra charge per hour .

Answer 1

Step-by-step explanation:

let fixed charge be x

and additional charge be y

17x+5y=4600

13x+y=3800

y=3800-13x

17x+5(3800-13x)=4600

17x+19000-65x=4600

-48x=4600-19000

-48x=-154000

Answer 2

The fixed charge was 3600 Rs. and extra charge per hour was 200 Rs.

Step-by-step explanation:

Sita rented a car for 17 hours and paid the amount = 4600 Rs.

Simran rented a car for 13 hours and paid the amount = 3800 Rs.

The difference between the time of renting = 17 - 13 = 4 hours

The difference between the paid amount = 4600 - 3800

                                                                     = 800 Rs.

Since Sita paid 800 Rs. for 4 hours.

So, Sita paid for 1 hour = $\frac{800}{4}$  = 200 Rs.

Hence, the extra charge per hour after 12 hours = 200 Rs.

Let the fixed price of rent = x

Sita paid for 12 hours and 5 extra hours

x + 5(200) = 4600

x + 1000 = 4600

x = 4600 - 1000

x = 3600 Rs.

Simran paid for 12 hours and 1 extra hour

x + 1(200) = 3800

x + 200 = 3800

x = 3600

The fixed charge was 3600 Rs. and extra charge per hour was 200 Rs.

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