Question
‘P’ can finish a task in 36 days, while ‘Q’ can
do the same task in (x + 4) days. If both work together and finish the task in 12 days, what is the value of (2x + 9)?Solution
Let total work be 36(x + 4) units Efficiency of P = 36(x + 4) ÷ 36 = (x + 4) units/day Efficiency of Q = 36(x + 4) ÷ (x + 4) = 36 units/day Now, (x + 4 + 36) × 12 = 36(x + 4) 12x + 480 = 36x + 144 24x = 336 x = 14 Required value = 2x + 9 = 2×14 + 9 = 37
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