A certain sum of money is sufficient to pay either George's wages for 15 days…
2024
A certain sum of money is sufficient to pay either George's wages for 15 days or Mark's wages for 10 days. For how long will it suffice if both George and Mark work together?
- A.
8 days
- B.
6 days
- C.
9 days
- D.
5 days
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Correct answer: B
Answer: 6 days
Key idea: Find the combined daily wage and divide the total money by that amount.
Let the total money be x.
George's daily wage = x/15. Mark's daily wage = x/10.
Together they earn x/15 + x/10 = x/6 per day.
Number of days the money will suffice = total money ÷ combined daily wage = x ÷ (x/6) = 6.
Quick numeric check: If the total is 30, George gets 2 per day and Mark gets 3 per day, together 5 per day, so 30 ÷ 5 = 6 days.