Final answer:
The cyclist will travel a distance of 7 miles in 42 minutes.
Step-by-step explanation:
To answer this question, we can use the formula:
Distance = Speed x Time
In this case, the cyclist is traveling at a constant speed of 10 mph for a time of 42 minutes. To convert minutes to hours, we divide by 60:
42 minutes ÷ 60 = 0.7 hours
Now we can plug in the values into the formula:
Distance = 10 mph x 0.7 hours = 7 miles
The cyclist will travel a distance of 7 miles in 42 minutes.