Question

I need help with the following problem:

Catalin works in an office. One week he divides his time between these tasks:

1/4 of his time in meetings
5/8 of his time writing reports
the rest of his time doing the accounts
He spends a total of 6 hours doing the accounts

Find the total number of hours he works in the week. How would I go about solving this problem?

Answer 1

Catalin works 48 hours during the week.

Explanation:

Since Catalin divides his weekly worktime using 1/4 of his time in meetings, 5/8 of his time writing reports and the rest of his time doing the accounts, and he spends a total of 6 hours doing the accounts, to find the total number of hours he works in the week the following calculation must be performed:

1/4 + 5/8 = X

1/4 + 2.5 / 4 = X

3.5 / 4 = X

0.5 = 6

(4 / 0.5) x 6 = X

8 x 6 = X

48 = X

Therefore, Catalin works 48 hours during the week.