A project is done in 30 days by three partners Nikhil, Rohit and Sanjeev. Sanjeev is twice as fast as Rohit and Rohit is thrice as fast as Nikhil. Calculate in how much time will Nikhil alone can complete the project?
1). 150 days
2). 200 days
3). 270 days
4). 300 days
let Nikhil can complete the project in x days.
∴ Rohit will complete it in x/3 days and Sanjeev will do it in x/6 days.
? In one day Nikhil, Rohit and Sanjeev will complete 1/x, 3/x and 6/x of the project.
∴ combined one day work of all partner = 1/x + 3/x + 6/x = 10/x = 1/30 (given)
x = 300 days