Final answer:
Khalil biked 36 miles. The solution involves setting up a simple equation based on the information given and solving for 'x', which represents the number of miles Khalil biked.
Step-by-step explanation:
The question deals with a simple algebra problem where Han biked 2/3 more miles than Khalil, and Han biked a total of 60 miles. To find out how many miles Khalil biked, we can let x be the number of miles Khalil biked. According to the problem, Han biked 1 + 2/3 times the distance Khalil did, which simplifies to 5/3 times the distance of Khalil.
Therefore, we can write the following equation:
5/3 × x = 60 miles (Han's total biking distance)
To solve for x, we multiply both sides of the equation by the reciprocal of 5/3, which is 3/5:
3/5 × (5/3 × x) = 3/5 × 60
This simplifies to:
x = 36 miles
Hence, Khalil biked 36 miles.