# A can finish a task in 6 days by working for 8 hours/day and B has the capacity to finish the same task in 8 days by working for 6 hours/day. In how many days will they finish it together by working 4 hours a day?

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IB ACIO Grade II Previous Paper 12 (Held on: 20 Feb 2021 Shift 2)
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1. 9 days
2. 6 days
3.  8 days
4. 12 days

## Answer (Detailed Solution Below)

Option 2 : 6 days
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## Detailed Solution

Given:

A can finish work in 6 days working 8 hours per day.

B can finish work in 8 days working 6 hours per day.

Calculation:

The amount of work done by A in one day and 1 hour = (1/6) × (1/8) = 1/48

The amount of work done by B in one day and 1 hour = (1/8) × (1/6) = 1/48

The amount of work done by A and B together (A + B) = (1/48)(1/48)

= 2/48 = 1/24

So, The number of days taken to complete the work together working 4 hours per day is:

(1/24) × 4 = 1/6

∴ A and B complete the work in 6 days together working for 4 hours per day.
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