Felicia** drove at 45 mph. After 1/3 of an hour, when her husband started out, she was (45/3) = 15 miles from home.
Husband drove at 55 mph. He gained (55-45) = 10 miles on Felicia each hour. That is, he closed 10 miles of the gap each hour.
It took him (15/10) = 1.5 hours to catch up to her.
That's 1hr 30min after HE started out, and 1hr 50min after SHE left the house.
** I've spelled the wife's name as 'Felicia' throughout my solution. I'm pretty sure there's a better chance of this being the correct spelling rather than 'Felecia', and I never trust anybody who can't spell their own name.
Answer:
It will take Felecia's husband
1.5
hours to catch up.
Explanation:
