A husband and wife work at the same company, and decide to walk to work. He leaves home at 7:30 am, and arrives in 12 1/3 minutes. She leaves at 7:45 am, and arrives in 10 3/5 minutes. Compute how much longer it takes him to walk to work than it takes her.
Group of answer choices
1 13/15 minutes
13 4/15 minutes
1 11/15 minutes
15 minutes
To find out how much longer it takes him to walk to work than it takes her, we need to subtract the time it takes her from the time it takes him.
The husband takes 12 1/3 minutes to walk to work, which can be written as 37/3 minutes.
The wife takes 10 3/5 minutes to walk to work, which can be written as 53/5 minutes.
To subtract the two times, we need a common denominator. The least common multiple of 3 and 5 is 15.
Converting 37/3 to fifteenths, we get 37/3 * 5/5 = 185/15.
So, the husband takes 185/15 minutes to walk to work.
Subtracting 53/5 from 185/15, we get (185/15) - (53/5) = (185 - 159)/15 = 26/15.
So, the husband takes 26/15 minutes longer to walk to work than the wife.
Converting 26/15 to a mixed number, we get 1 11/15 minutes.
Therefore, it takes the husband 1 11/15 minutes longer to walk to work than it takes the wife. So, the answer is 1 11/15 minutes.