Tunga takes 3 more days than the number of days taken by Gangadevi to complete a piece of work.if both tunga and Gangadevi together can complete the same work in 2 days,in how many days tunga alone can complete the work?
1 Answer
6 days
Explanation:
G= the time, expressed in days, that Gangadevi takes to complete one piece (unit) of work.
T = the time, expressed in days, that Tunga takes to complete one piece (unit) of work and we know that
When they work together, it takes them 2 days to create a unit, so their combined speed is
substituting
Factoring with
according to the factoring formula
gives
and
as two solutions for G (the nr of days it takes Gangadevi to finish one unit of work)
only x2 is a valid solution as x1 is a negative value.
so: G=3, meaning that T=G+3 = 6