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- Take total work as 1 or LCM.
- Find each one-day work rate.
- Combine rates as required.
Correct Answer: C
Correct Answer: C
Method / Topic: Time and Work
The answer is based on combined work rates.
Short Explanation
Detailed Explanation
Correct Answer: C
Method / Topic: Time and Work
<table cellspacing="0" style="border-collapse:collapse; height:20px; width:85px">
<tbody>
<tr>
<td style="border-bottom:1px solid #44b3e1; border-left:none; border-right:none; border-top:1px solid #44b3e1; height:20px; vertical-align:top; white-space:normal; width:85px"><span style="color:#000000">A completes 8/24=1/3 of the work in the first 8 days, leaving 2/3. Together they complete 2/3 in 8 days, so their daily rate is 1/12. A's rate is 1/24, hence B's rate=1/12−1/24=1/24. The calculation is checked against the conditions in the
. A useful final check is to substitute the
s involving signs, denominators, amount versus interest, and distance versus speed.</span></td>
</tr>
</tbody>
</table>
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Learn + Solve: Shortcut, Trap & Fast Route Click to view shortcut, steps, and common mistake
Shortcut used, common trap, and the fastest solving route
- Take total work as 1 or LCM.
- Find each one-day work rate.
- Combine rates as required.
A can finish a job in 24 days. After working alone for 8 days, B joins and they complete the remaining work in 8 days. In how many days can B alone finish the job?
Explanation
Correct Answer: C
Method / Topic: Time and Work
The answer is based on combined work rates.
Short Explanation
Detailed Explanation
Correct Answer: C
Method / Topic: Time and Work
<table cellspacing="0" style="border-collapse:collapse; height:20px; width:85px">
<tbody>
<tr>
<td style="border-bottom:1px solid #44b3e1; border-left:none; border-right:none; border-top:1px solid #44b3e1; height:20px; vertical-align:top; white-space:normal; width:85px"><span style="color:#000000">A completes 8/24=1/3 of the work in the first 8 days, leaving 2/3. Together they complete 2/3 in 8 days, so their daily rate is 1/12. A's rate is 1/24, hence B's rate=1/12−1/24=1/24. The calculation is checked against the conditions in the
. A useful final check is to substitute the
s involving signs, denominators, amount versus interest, and distance versus speed.</span></td>
</tr>
</tbody>
</table>
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