If 4 bicycles can be repaired in 6 hours, how many bicycles can be repaired in 1

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Question: If 4 bicycles can be repaired in 6 hours, how many bicycles can be repaired in 18 hours by 6 bicycles?

Options:

Correct Answer: 24 bicycles

Solution:

Rate = 4 bicycles / 6 hours = 2/3 bicycles/hour. For 6 bicycles, rate = 4 bicycles/hour. In 18 hours, they can repair 4 * 18 = 72 bicycles.

If 4 bicycles can be repaired in 6 hours, how many bicycles can be repaired in 18 hours by 6 bicycles?

If 4 bicycles can be repaired in 6 hours, how many bicycles can be repaired in 18 hours by 6 bicycles?

Step 1: Find the rate of repair for 4 bicycles. We know that 4 bicycles can be repaired in 6 hours.
Step 2: Calculate the rate of repair per hour for 4 bicycles. This is done by dividing the number of bicycles by the number of hours: 4 bicycles / 6 hours = 2/3 bicycles per hour.
Step 3: Now, we need to find the rate for 6 bicycles. Since 6 bicycles can repair bicycles faster, we multiply the rate of 4 bicycles by 1.5 (because 6 is 1.5 times 4). So, 2/3 bicycles/hour * 1.5 = 4 bicycles/hour.
Step 4: Next, we need to find out how many bicycles can be repaired in 18 hours at the rate of 4 bicycles/hour. We do this by multiplying the rate by the number of hours: 4 bicycles/hour * 18 hours = 72 bicycles.
Step 5: Therefore, in 18 hours, 6 bicycles can repair a total of 72 bicycles.

Rate of Work – Understanding how to calculate the rate at which work is done based on the number of items and time.
Proportional Relationships – Applying proportional reasoning to determine how changes in one variable affect another.
Unit Conversion – Converting the rate of work from one set of conditions to another (from 4 bicycles to 6 bicycles).