CAT 2021 Slot 1 QA Question 4: Anu, Vinu and Manu can complete a work alone in 15 days, 12 days and 20 days, respectively. Vinu works everyday. Anu works only on alternate days starting from the first day while Manu works only on a

Question

Anu, Vinu and Manu can complete a work alone in 15 days, 12 days and 20 days, respectively. Vinu works everyday. Anu works only on alternate days starting from the first day while Manu works only on a

Accepted Answer

In two days, Vinu works on both days, Anu works on one day and Manu works on one day.
$\dfrac{2}{12} + \dfrac{1}{15} + \dfrac{1}{20} = \dfrac{17}{60}$
So in 6 days, or 3 such cycles, the work completed is
$3 	imes \dfrac{17}{60} = \dfrac{51}{60}$
The remaining work is
$1 - \dfrac{51}{60} = \dfrac{9

Anu, Vinu and Manu can complete a work alone in 15 days, 12 days and 20 days, respectively. Vinu works everyday. Anu works only on alternate days starting from the first day while Manu works only on alternate days starting from the second day. Then, the number of days needed to complete the work is