Question

'R' can independently complete a task in 36 days, whereas 'S' can accomplish 40% of the same work within 16 days. 'S' starts the task solo and withdraws after 10 days. Subsequently, the remaining work is undertaken collaboratively by 'R' and 'M,' culminating in its completion in 12 days. Calculate the duration required for 'S' and 'M' to jointly execute the same task.

Q: Answer-'R' can independently complete a task in 36 days, whereas 'S' can accomplish 40% of the same work wi...

ATQ, S alone can do the work in 160.4 40 days Let, total work be LCM of 36 and 40 360 units Units of work done by R in a day 36036 10 Units of work done by S in a day 36040 9 Units of work done by S on 10 days 9 10 90 Remaining work 360 90 270 units Let, M can do m units work per day So, 27010 m 12 270 120 12m 12m 150 m 12.5 Required time taken 3609 12.5 72043 days