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Shan can complete a task in 16 days. When Shan and Jyoti work together on the same task, they receive their wages in the ratio 7 ∶ 4. In how many days will Jyoti complete the task alone?1). 24 days2). 26 days3). 29 days4). 28 days |
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Answer» Let Jyoti will complete the task alone in ‘x’ days Jyoti’s 1 DAY work = 1/x Shan’s 1 day work = 1/16 When they work TOGETHER, RATIO of their WAGES = 7 ? 4 ⇒ 1/16 ? 1/x = 7 ? 4 ⇒ x ? 16 = 7 ? 4 ⇒ x = 7/4 × 16 = 28 ∴ Jyoti will complete the task alone in 28 days |
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