Rajiv Can Do A Piece Of Work In 10 Days , Venky In 12 Days And Ravi I

1.	Rajiv Can Do A Piece Of Work In 10 Days , Venky In 12 Days And Ravi In 15 Days. They All Start The Work Together, But Rajiv Leaves After 2 Days And Venky Leaves 3 Days Before The Work Is Completed. In How Many Days Is The Work Completed ?
Answer» Let the work be 60 units. If venky worked for 3 days, and the REMAINING days of work be x days, total days to COMPLETE the work be x + 3 days. Now Capacities of RAJIV is 60/10 = 6, Venky is 5, Ravi is 4. (6 + 5 + 4) 2 + (5 + 4) (x - 3) + 5 x 3 = 60. Solving we get x = 4. So total days to complete the work is 7 days. Let the work be 60 units. If venky worked for 3 days, and the remaining days of work be x days, total days to complete the work be x + 3 days. Now Capacities of Rajiv is 60/10 = 6, Venky is 5, Ravi is 4. (6 + 5 + 4) 2 + (5 + 4) (x - 3) + 5 x 3 = 60. Solving we get x = 4. So total days to complete the work is 7 days.

Rajiv Can Do A Piece Of Work In 10 Days , Venky In 12 Days And Ravi In 15 Days. They All Start The Work Together, But Rajiv Leaves After 2 Days And Venky Leaves 3 Days Before The Work Is Completed. In How Many Days Is The Work Completed ?

Answer»

Let the work be 60 units. If venky worked for 3 days, and the REMAINING days of work be x days, total days to COMPLETE the work be x + 3 days.

Now Capacities of RAJIV is 60/10 = 6, Venky is 5, Ravi is 4.

(6 + 5 + 4) 2 + (5 + 4) (x - 3) + 5 x 3 = 60.

Solving we get x = 4. So total days to complete the work is 7 days.

Let the work be 60 units. If venky worked for 3 days, and the remaining days of work be x days, total days to complete the work be x + 3 days.

Now Capacities of Rajiv is 60/10 = 6, Venky is 5, Ravi is 4.

(6 + 5 + 4) 2 + (5 + 4) (x - 3) + 5 x 3 = 60.

Solving we get x = 4. So total days to complete the work is 7 days.

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