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Time and work practice question for Railways, SSC. Review the correct answer and explanation, then continue with related practice below.

Question language / प्रश्न भाषा

A is able to complete a task in 15 days, while B takes 20 days to finish the same task. If they collaborate and work together for 4 days, what fraction of the work will still remain?

A किसी कार्य को 15 दिनों में पूरा कर सकता है, जबकि B उसी कार्य को 20 दिनों में पूरा करता है। यदि दोनों मिलकर 4 दिनों तक कार्य करते हैं, तो कार्य का कितना भाग शेष रहेगा?

Answer and explanation are free to read — no sign-in required.उत्तर और व्याख्या पढ़ने के लिए साइन-इन आवश्यक नहीं है।

A

1/4

B

7/15

C

8/15

✓

D

11/15

Correct Answerसही उत्तर

C. 8/15

Explanationव्याख्या

Take total work as the LCM of 15 and 20.
Total work: LCM(15, 20) = 60 units A's efficiency: = 60 ÷ 15 = 4 units
day B's efficiency: = 60 ÷ 20 = 3 units
day Combined efficiency:
60 = 8
15 Hence, the correct answer is 8
15.

कुल कार्य को 15 और 20 का LCM मानें।
संयुक्त कार्यक्षमता: = 4 + 3 = 7 units
day Work completed in 4 days: 4 दिनों में किया गया कार्य: = 7 × 4 = 28 units Remaining work:
शेष कार्य: = 60 − 28 = 32 units Fraction remaining: = 32
अतः सही उत्तर 8
15 है।

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