Mohan can do a piece of work in 7 days working 9 hours a day and Shyam can do…
2025
Mohan can do a piece of work in 7 days working 9 hours a day and Shyam can do the same work in 6 days working 7 hours a day. How long will they take to complete the job working together 8\frac{2}{5} hours a day?
- A.
3 days
- B.
4 days
- C.
3½ days
- D.
5 days
Attempted by 9 students.
Show answer & explanation
Correct answer: A
Mohan takes 7 days × 9 hours = 63 hours. Shyam takes 6 days × 7 hours = 42 hours. Combined hourly rate: 1/63 + 1/42 = 5/126. Daily work at 8 2/5 hours (42/5 hours): (5/126) × (42/5) = 1/3. Total days needed: 1 ÷ (1/3) = 3 days.