A alone can finish a work in 10 days and B alone can do it in 15 days. If they…
2024
A alone can finish a work in 10 days and B alone can do it in 15 days. If they work together and finish, then out of a total wages of Rs 75. A will get ?
- A.
Rs. 30
- B.
Rs. 37.50
- C.
Rs. 45
- D.
Rs. 50
Attempted by 7 students.
Show answer & explanation
Correct answer: C
Solution:
Step 1: Compute each person's work rate (work done per day).
A's rate = 1/10 work per day.
B's rate = 1/15 work per day.
Step 2: Find the ratio of the work done by A to B.
Work ratio = (1/10) : (1/15) = 3 : 2.
Step 3: Divide the total wages in the same ratio.
A's share = 3 / (3 + 2) × 75 = 3/5 × 75 = Rs. 45.
Therefore, A will get Rs. 45.