Kyle is renting a jetski for the day. If he can rent the jetski in 1-hour increments, what is the minimum number of hours must he rent the jetski for option 2 to be a better deal than option 1? A) 2 hours B) 3 hours C) 4 hours D) 5 hours

Complete Question:

Option 1: $30 an hour plus a non-refundable deposit of $50.

Option 2: $20 an hour plus a non-refundable deposit of $75.

Kyle is renting a jetski for the day. If he can rent the jetski in 1-hour increments, what is the minimum number of hours must he rent the jetski for option 2 to be a better deal than option 1?

Kyle must rent the jetski for three hours for option 2 to be a better deal than option 1

Solution:

Let "x" be the number of hours

Therefore,

Charge for option 1: 50 + 30x

For 1 hour,

Charge = 50 + 30(1) = 80

For 2 hours,

Charge = 30(2) + 50 = 110

For 3 hours,

Charge = 30(3) + 50 = 140

For 4 hours,

Charge =  30(4) + 50 = 160

Charge for option 2 : 75 + 20x

For 1 hour,

Charge = 20(1) + 75 = 95

For 2 hours ,

Charge = 20(2) + 75 = 115

For 3 hours,

Charge =  20(3) + 75 = 135

For 4 hours,

Charge =  20(4) + 75 = 155

For the first two hours , the charge of option 2 is more than the rent of option 1

From 3 hours, option 2 will be better deal than option 1

Consider the cylindrical tank:

Diameter=1.4m

Radius=r

1

=

2

1.4

=0.7m

Height =h

1

=2.1=

10

21

m

Consider the cylindrical pipe:

Diameter=3.5cm=

10

35

cm=

2

7

cm

Radius=r

2

=

4

7

cm=

400

7

m

Speed =h

2

=2mper sec

∴ Time taken to fill the tank=

Volumeofcylindricalpipe

Volumeofcylindricaltank

=

πr

2

2

h

2

πr

1

2

h

1

=

π×

400

7

×

400

7

×2

π×

10

7

×

10

7

×

10

21

=

10

7

×

10

7

×

10

21

×

7

400

×

7

400

×

2

1

=1680secs

=

60

1680

minutes

=28minutes