Question

Sita and Simran wanted to go for a vacation with their families and booked two cars
individually in zoomcar.com. The rent for the car for 12 hours is fixed and above that, 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

Answer:

Step-by-step explanation:

answer:

the fixed charge = rs 3600the extra charge per hour = rs

step-by-step explanation:

let x represent the fixed charge

and y represent the extra charge per hour

then we have to solve the following equations   system :

x + (17-12)y = 4600

x + (13-12)y = 3800

⇔

x + 5y = 4600 (1)

x +   y = 3800 (2)

()⇒ 4y = 4600-3800=800 then 4y=800 then y=200

we replace y by 200 in equation (2) : x = 3800-200 = 3600.

Answer 2

Answer:

fixed charge =Rs.3600 and additional charge per hour = Rs.200

Step-by-step explanation:

let x be the fixed charge for 12 hours and y be the additional charge per hour

Sita:

x  +  5y  =   Rs.4600 ..........(1)

Simran:

x  +   1y  =  Rs.3800 ............(2)

subtracting (2)from(1)

x   +   5y    = 4600 _

x   +    y     = 3800

        4y      =800

4y= 800

∴y=800/4=200

y=200.......(3)

substituting (3) in (2)

x+200 = 3800

∴x = 3800 - 200 = 3600

∴x = 3800

y = 200