1.

p can do a work 3 times faster than q and therefore takes 40 days less than q. find the time in which p and q can complete the work individually.

Answer»

Let the no. of days taken by ‘p’ to complete the work is DENOTED by D

P works 3 times faster than Q.

Therefore, no. of days taken by q = 3D

Since p completes the work in 40 days LESSER than q, D = 3D-40

= > 2D= 40

D = 20

So, p takes 20 days to complete

Q takes 20 x 3 = 60 days to complete the same work

Combined work of p and q can be calculated by taking L.C.M

20 x 60 / (20 + 60) = 15

So, p and q together will take 15 days to complete the work


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