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Time taken by A and B to complete a work is in the ratio 2 : 3. A alone worked for 5 days and left the work then B alone worked for 10 days on the same work, It is found than 70% of the work is completed. Find the time in which they together can complete the work.1). 10 days2). 15 days3). 8 days4). 200/13 days |
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Answer» Ratio of time taken by A and B to complete a work = 2 ? 3 ∴ Ratio of EFFICIENCY of A and B = 3 ? 2 Let, efficiency of A = 3X/day and efficiency of B = 2x/day Let, quantity of total work = a According to problem, ⇒ 5 × 3x + 10 × 2x = 0.7a ⇒ 0.7a = 35x ⇒ a = 50x Let, they together do the work in = y days ⇒ y × (3x + 2x) = 50x ⇒ y = 50x/5x ⇒ y = 10 ∴ They together will complete the work in = 10 days |
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