Question

ace bike rentals rents bikes for $28 per day. Renters can keep the bike for 8 hours. Bart's bikes rents bikes for $30 per day. Renters can keep the bike for 10 hours. Which company charges a lower rate? How much lower?

Answer 1

Bart company charges a lower rate. It is lower by rate $ 0.5 per hour

Solution:

Given that Ace bike rentals rents bikes for $28 per day. Renters can keep the bike for 8 hours

Also given that Bart's bikes rents bikes for $30 per day. Renters can keep the bike for 10 hours

To find: company that charges lower rate

Let us find the hourly rate of Ace and Bart

`\text {hourly rate }=\frac{\text { Rental price }}{\text { total time in a day }}`

Hourly rate of Ace company:

Rental price = $28

total time in a day 8 hours

`\text {hourly rate }=(28)/(8)=3.5`

So the hourly rate of Ace company is $ 3.5 per hour

Hourly rate of Bart company:

Rental price = $ 30

total time in a day 10 hours

`\text {hourly rate }=(30)/(10)=3`

So the hourly rate of Bart company is $ 3 per hour

Comparing hourly rate of both companies

Ace company is $ 3.5 per hour

Bart company is $ 3 per hour

Bart company < Ace company

3 < 3.5

Thus bart company charges a lower rate

How much lower?

hourly rate of Ace company - hourly rate of Bart company = 3.5 - 3 = 0.5

So, it is lower by rate $0.5 per hour