Multiple choice

Ajit and Rakesh together can do a piece of work in a certain number of days. Ajit working alone can finish a work that is three times the original work in 30 days. Rakesh working alone can finish a work that is one--third the original work in 5 days. In how many days they together can finish a work that is twice the original work. अजीत और राकेश एक साथ एक काम को एक निश्चित दिनों में कर सकते है। अजीत अकेले प्रारम्भिक काम का तीन गुना काम 30 दिनों में कर सकता है। राकेश अकेले उसी प्रारम्भिक काम का एक तिहाई काम 5 दिनों में कर सकता है। तो कितने दिनों में प्रारम्भिक काम का दोगुना काम एक साथ मिलकर पूरा कर सकते है?

  1. 6 days/दिन

  2. 12 days/दिन

  3. 15 days/दिन

  4. 18 days/दिन
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let original work be W. Ajit: 3W in 30 days → rate = W/10 per day. Rakesh: W/3 in 5 days → rate = W/15 per day. Combined rate = W/10 + W/15 = W/6 per day. For 2W work: time = 2W ÷ (W/6) = 12 days. The answer is 12 days for twice the original work.

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