Multiple choice

Dev and Ram can do a piece of work in 45 days and 40 days respectively. They began the work together, but Dev leaves after some days and Ram finished the remaining work in 23 days. After how many days did Dev leave? देव और राम एक कार्य को क्रमशः 45 दिन और 40 दिन में कर सकते है | उन्होंने एक साथ मिलकर कार्य करना आरम्भ किया ,लेकिन कुछ दिन बाद देव चला गया और राम ने शेष कार्य को 23 दिन में समाप्त कर दिया| कितने दिनों बाद देव चला गया था?

  1. 4 days/ दिन

  2. 5 days/ दिन

  3. 8 days/ दिन

  4. 9 days/ दिन
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D Correct answer
Explanation

Dev's work rate = 1/45 per day. Ram's work rate = 1/40 per day. Combined rate = 1/45 + 1/40 = 17/360 per day. Let Dev worked for x days. Work done together = x × 17/360. Ram worked alone for 23 days, completing 23/40 of work. Total: 17x/360 + 23/40 = 1. Solving: 17x/360 = 17/360, so x = 9 days.

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