Hector is competing in a 42-mile bicycle race. He has already completed 18 miles of the race and is traveling at
a constant speed of 12 miles per hour when Wanda starts
the race. Wanda is traveling at a constant speed of 16
miles per hour.
write and solve an equation to find when wanda will catch up to hector

Let x = the hours needed for Wanda to catch up to Hector.

Hector has already completed 18 miles. Hector travels at 12 miles per hour.

After x more hours, Hector will travel

18 + 12x miles

Wanda travels at 16 miles per hour. In x hours, she travels

16x miles

If Wanda catches up to Hector, then

16x = 18 + 12x

4x = 18

x = 4.5 hours

 4 hours, 30 minutes (or 4.5 hours)

Step-by-step explanation:

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