It costs $25 to rent a kayak in addition to $7.50 per hour. Logan rented the kayak at 11:00 a.m. then returned it later that evening. If he paid $70, what time did he return the kayak?
70 = 25 + 7.50 h
45 = 7.5 h
h = six hours
11 to noon is one of the six hours, five are left so 5 pm
By the way, if you use a 24 hour (military or seagoing) clock, 11 + 6 = 17
17:00 is 5 pm
To find out the time Logan returned the kayak, we need to first determine the rental duration.
Let's assume Logan returned the kayak x hours after renting it.
The rental cost includes a fixed fee of $25 in addition to $7.50 per hour. We can express this as an equation:
$25 + ($7.50 * x) = $70
To find x, we need to solve this equation for the variable.
$7.50 * x = $70 - $25
$7.50 * x = $45
Divide both sides by $7.50 to isolate the x variable:
x = $45 / $7.50
x = 6
Therefore, Logan rented the kayak for 6 hours.
If he rented it at 11:00 a.m. and returned it 6 hours later, we can determine the return time.
11:00 a.m. + 6 hours = 5:00 p.m.
Therefore, Logan returned the kayak at 5:00 p.m.
To find out what time Logan returned the kayak, we need to determine how many hours he rented the kayak for. Given that Logan paid $70 in total and the cost per hour is $7.50, we can subtract the base rental cost of $25 from the total to find the additional cost for the hours rented.
First, let's calculate the additional cost:
Additional cost = Total cost - Base rental cost
Additional cost = $70 - $25 = $45
Now, we can determine the number of hours rented by dividing the additional cost by the cost per hour:
Number of hours rented = Additional cost / Cost per hour
Number of hours rented = $45 / $7.50 = 6 hours
Since Logan rented the kayak at 11:00 a.m., we can add 6 hours to find the time when he returned the kayak:
Return time = Rental time + Number of hours rented
Return time = 11:00 a.m. + 6 hours
To add the hours, we need to account for the fact that the time is in the 12-hour format. Since 11:00 a.m. is in the morning, and we need to add 6 hours, the return time would be in the evening.
Adding 6 hours to 11:00 a.m. gives us 5:00 p.m., which is the time when Logan returned the kayak.