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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 if later that evening. If he paid $70, what time did he return the kayak?

It costs $25\$25 to rent a kayak in addition to $7.50\$7.50 per hour. Logan rented the kayak at 11:0011:00 a.m. then returned if later that evening. If he paid $70\$70, what time did he return the kayak?

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Full solution

Q. It costs $25\$25 to rent a kayak in addition to $7.50\$7.50 per hour. Logan rented the kayak at 11:0011:00 a.m. then returned if later that evening. If he paid $70\$70, what time did he return the kayak?
  1. Calculate Total Cost: Calculate the total cost without the hourly rate. Subtract the base rental fee from the total paid: $70−$25=$45\$70 - \$25 = \$45.
  2. Determine Rental Hours: Determine how many hours Logan could have rented the kayak by dividing the remaining amount by the hourly rate: $45÷$7.50=6\$45 \div \$7.50 = 6 hours.
  3. Find Return Time: Add the hours rented to the start time to find the return time. Logan started at 11:0011:00 a.m. and rented for 66 hours, so 11:0011:00 a.m. + 66 hours = 5:005:00 p.m.

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