Work and Wages – B’s fair share from a contracted amount: A can do the work in 8 days and takes a $320 contract. With B’s help the job finishes in 6 days. What is B’s share of the $320?

Introduction / Context:When a contractor hires help, the fair split of the fixed amount is proportional to the actual work contributed by each person. We compute how much of the job A completed in 6 days and assign the remainder to B.

Given Data / Assumptions:

• A’s solo time = 8 days ⇒ A’s rate = 1/8 job/day
• Actual completion time with B = 6 days
• Total contract amount = $320

Concept / Approach:Work done by A in 6 days = 6 * (1/8) = 3/4 of the job. Therefore B must have done the remaining 1/4. Payment is split 3/4 to A and 1/4 to B.

Step-by-Step Solution:A’s contribution = 3/4 of jobB’s contribution = 1/4 of jobB’s share = 1/4 * $320 = $80

Verification / Alternative check:A’s share = 3/4 * $320 = $240; sum $240 + $80 = $320.

Why Other Options Are Wrong:$120 and $100 overpay B; $60 underpays; $240 is A’s share.

Common Pitfalls:Splitting by days worked instead of fraction of total job accomplished.

Final Answer:$80