Rohit can finish 75% of a task in 24 days, while Shyam can complete 62.5% of the same task in 10 days. If Rohit and Shyam work together for 8 days, and Mohan completes the remaining task in 5 days, determine how long Mohan would take to complete 80% of the task on his own.

Rohit can finish 75% of a task in 24 days

Shyam can complete 62.5% of the same task in 10 days.

We know Rohit and Shyam have worked together for 8 days.

Therefore, work done by Rohit in 8 days =?

75% of a task in 24 days,

25% of a task in 8 days.

Thus, Rohit completes 25% of the task in 8 days.

Similarly, Shyam will complete work in 8 days =?

62.5% of the same task in 10 days.

6.25% of tasks in 1 day.

Therefore, 50% of tasks in 8 days.

Therefore, Rohit and Shyam complete 25%+50% = 75% of the task in 8 days.

Mohan completes the remaining task in 5 days

Thus, Mohan completes 25% of the task in 5 days.

Mohan completes 5% of tasks in 1 day.

Therefore, he will take 16 days to complete the 80% of the task.