Ravi and Sumant can complete a piece of work in 40 and 50 days, respectively. If they work at it on alternate days starting with Ravi on the first day, in how many days will the work get over?
Show answer & explanation
Correct answer: D
Explanation
The Correct answer is Option 4 i.e. 44.
Ravi and Sumant can complete a piece of work in 40 and 50 days
L.C.M(40 and 50) = 200
The efficiency of Ravi = 200/40 = 5 units
The efficiency of Sumant = 200/50 = 4 units
Starting from Ravi
2 days = 9 units (multiplied by 20)
2 × 20 = 9 × 20
40 days = 180 units
41 days = 185 units
42 days = 189 units
43 days = 194 units
44 days = 199 units
Remaining work = 200 - 199 = 1 unit
So, the work will be completed in 44 days