Question

Rajan can do a piece of work in 24 days while Amit can do it in 30 days. How many days can they complete it ,if they work together

Answer 1

Rajan's 1 day work = 1/24

Amit's 1 day work = 1/30

(Rajan + Amit)'s 1 day work = 1/24 + 1/30 = ( 5 + 4 )/ 120 = 9/120 = 3/40

No. of days taken by (Rajan + Amit) to complete work = 40/3 = 13 1/3 days

Answer 2

rajan one day work= 1/24
Amit one day work =1/30
both can complete it in= 1/24+1/30=5+4/120=9/120
time taken= 120/9=40/3days