Question
Ravi can finish 50% of a job in 20 days, while Ramesh
can finish 40% of the same job in 32 days. Both start working together, but Ravi leaves after some time. If the entire job is completed in 48 days, after how many days did Ravi leave?Solution
Time taken by Ravi to complete whole work = (20 ÷ 0.5) = 40 days
Time taken by Ramesh to complete whole work = (32 ÷ 0.4) = 80 days Let the total work be 240 units (LCM of 40 and 80)
Efficiency of Ravi = (240 ÷ 40) = 6 units/day
Efficiency of Ramesh = (240 ÷ 80) = 3 units/day Let Ravi worked for 'n' days.
(6 + 3) × n + 3 × (48 − n) = 240
9n + 144 − 3n = 240
6n = 96
n = 16 Hence, Ravi left after 16 days .
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