Question

Sonu can finish a task in 6 days while Ravi takes 8 days to finish the same task. If Sonu works for 2 days and then Ravi joins him from the next day and both complete the work, find the percentage of work done by Sonu. ​

Answer 1

Step-by-step explanation

Total work = LCM(6,8) = 24 units

Work done by Sonu in a day = 24/6 = 4 units

Work done by Ravi in a day = 24/8 = 3 units

work done by Sonu in 4 days = 4*2 = 8 units

Remaining work = 24 – 8 = 16 units

16 units of work can be done in 16/7 days.

Work done by Sonu in 16/7 days = 4*16/7 = 64/7 units

Total units of work done by Sonu = 64/7 + 8 = 120/7 units

Required% = {120/(24*7)}*100 = 71.5%