P can do a piece of work in 5 days of 8 hours each and Q can do in 4 days of 6…
2023
P can do a piece of work in 5 days of 8 hours each and Q can do in 4 days of 6 hours each. How long will they take do it working 5 hours a day?
- A.
2 days
- B.
3 days
- C.
4 days
- D.
5 days
Attempted by 44 students.
Show answer & explanation
Correct answer: B
Solution:
Step 1: Compute total hours for each worker. P: 5 × 8 = 40 hours (rate = 1/40 job per hour). Q: 4 × 6 = 24 hours (rate = 1/24 job per hour).
Step 2: Find combined hourly rate. 1/40 + 1/24 = 1/15 job per hour.
Step 3: Calculate work done per day at 5 hours/day. 5 × 1/15 = 1/3 of the job per day.
Step 4: Determine number of days required. 1 ÷ (1/3) = 3 days. Answer: 3 days.