Asha and Bhuvan can do a piece of work in 6 days and 9 days, respectively. They work on alternate days, starting with Asha on the first day. In how many days will the work be completed?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 7 days
Concept Used:
Total work = Efficiency × time
Explanation:
Let the total work done by Asha and Bhuvan be LCM(6, 9) = 18 units
So, Efficiency of Asha = 18/6 = 3 units/day
Efficiency of Bhuvan = 18/9 = 2 units/day
Now, they work on alternate days starting with Asha,
So, work done in 2 days = (3 + 2) = 5 units
Also work done in (2 × 3 =) 6 days = 15 units
Now, Asha will come and work for 1 day, work done by Asha = 3 units
Total work done in (6 + 1 =) 7 days = 18 units.
Hence the time taken by Asha and Bhuvan to complete the total work = 7 days.