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Hitesh can complete a work alone in 24 days and Jinesh can complete the same work in 30 days alone. With the help of Ishaan, they can complete this work in 10 days. In how many days will Ishaan complete this work alone?1. 32 days2. 36 days3. 48 days4. 40 days |
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Answer» Correct Answer - Option 4 : 40 days Given: Time taken by Hitesh to complete the work = 24 days Time taken by Jinesh to complete the work = 30 days Time taken with the help of Ishaan to complete the work = 10 days Formula used: Efficiency = Total work/Time taken Calculation: LCM of (24, 30 and 10) = 120 = Total work Efficiency of Hitesh = 120/24 units/day ⇒ 5 units/day Efficiency of Jinesh = 120/30 units/day ⇒ 4 units/day Efficiency of all of them together = 120/10 units/day ⇒ 12 units/day Efficiency of Ishaan = 12 – (5 + 4) units/day ⇒ (12 – 9) units/day ⇒ 3 units/day Time taken by Ishaan = 120/3 days ⇒ 40 days ∴ Time taken by ishaan to complete the work is 40 days |
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