Question

It takes Marty 1 1/4 hours to get ready for school. If 1/5 of that time is used to shower and 1/3 of that time is used to eat breakfast,how long does it take to shower and eat breakfast

Answer 1

Answer: the total amount of time

it takes to shower and eat breakfast is 2/3 hour.

Explanation:

The total amount of time that it takes Marty to get ready for school is 1 1/4 hours. Converting to improper fraction, it becomes 5/4 hours.

If 1/5 of that time is used to shower, it means that the it takes to shower is 1/5 × 5/4 = 1/4 hour.

If 1/3 of that time is used to eat breakfast, it means that the time it took to eat breakfast is 1/4 × 5/4 = 5/12 hour.

Therefore, the total amount of time

it takes to shower and eat breakfast is

1/4 + 5/12 = 8/12 = 2/3 hour

Answer 2

2/3 hour

Explanation:

We can add the fractions, then multiply by the time, or we can multiply each by the time and add the results.

(1/5 +1/3)(1 1/4) = (8/15)(5/4) = (4·2·5)/(3·5·4) = 2/3 . . . hours

alternatively, ...

(1/5)(1 1/4) +(1/3)(1 1/4) = (1/5)(5/4) +(1/3)(5/4)

= 1/4 +5/12 = 3/12 +5/12 = 8/12 = 2/3 . . . hours

It takes Marty 2/3 hours (40 minutes) to shower and eat breakfast.