Multiple choice

Rohit and Sanjay can complete a work in 30 and 45 days respectively if they work individually. They worked together for 10 days but Sanjay fell ill and Rohan join work with Rohit on behalf of Sanjay. If the work was completed in the next 8 days, then how long will Rohan alone take to complete the work? रोहित और संजय अकेले काम करते हुए क्रमश: 30 और 45 दिनों में एक कार्य पूरा कर सकते हैं। उन्होंने 10 दिनों के लिए एक साथ काम किया, लेकिन संजय बीमार हो गए और इसलिए रोहन , रोहित के साथ ,संजय की जगह आ गया । अगर काम अगले 8 दिनों में पूरा हो गया, तो रोहन को अकेले कार्य पूरा करने के लिए कितना समय लगेगा ?

  1. 35 days

  2. 55 days

  3. 72 days

  4. 45 days
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Rohit completes 1/30 of work daily, Sanjay 1/45. In first 10 days, they complete 5/9 of work together. The remaining 4/9 is finished by Rohit and Rohan in 8 days, from which we calculate Rohan's rate as 1/45 per day, meaning he alone takes 45 days.

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