Question

Ram and shyam together can do a piece of work in 30 days. ram haing workrd for 16 days shyam finshes the remaining work alone in 44 days. in how many days shall shyam finish the whole work alone.​

Answer 1

Shyam alone can finish the work in 60 days

Step-by-step explanation:

Let Ram's 1 day's work = x and Shyam's 1 day's work = y.

Both Ram's and Shyam's 1 day work=1/30

i.e (Ram's 1 day + Shyam's 1 day)=1/30

i.e x + y = 1/30 __________ (a)

now,

Ram having worked for 16 days, Shyam finishes the remaining work alone in 44 days

i.e work done by Ram in 16 days = 16x

Remaining work done Shyam = 1 - 16x

but Remaining work is done by Shyam in 44days i.e 44y

i.e. 44y=1-16x

i.e 16x+44y=1 ________ (b)

solving (a) and (b)

we get , x = 1/60 and y = 1/60

Shyam's 1 day's work = 1/60.

Hence, Shyam alone shall finish the whole work in 60 days.