Question
Arjun and Karan can do a work separately in 20 days and 50
days respectively. Arjun started the work and was later joined by Karan. When should Karan join so that the total work completes in 16 days?Solution
ATQ,
Let the total work be 100 units (LCM of 20 and 50)
Efficiency of Arjun = (100 / 20) = 5 units/day
Efficiency of Karan = (100 / 50) = 2 units/day
Let Karan join after 'n' days.
So, 5n + (5 + 2) × (16 - n) = 100
⇒ 5n + 112 - 7n = 100
⇒ 2n = 12
⇒ n = 6
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