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B would have taken 10 hours more than what A would have taken to complete a task if each of them worked alone. Working together they can complete the task in 12 hours. How many hours would B take to do 50% of the task?1). 302). 153). 204). 10 |
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Answer» Let A would have taken x hours to complete the task, ⇒ According to given CONDITION B would take (x + 10) hours to complete the task ⇒ WORK done in one day by A and B will be 1/x and 1/(x + 10) units Since working together they take 12 hours to complete the task, ⇒ 1/x + 1/(x + 10) = 1/12 ⇒ (2x + 10)/(x2 + 10x) = 1/12 ⇒ 24x + 120 = x2 + 10x ⇒ x2 - 14x - 120 = 0 ⇒ (x - 20) (x + 6) = 0 ⇒ x = 20, -6 ∴ B will take 30 hours to complete the task and 15 hours to complete 50% task. |
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