# Quantitative Aptitude – Arithmetic – Time and Work – Humans and robots can both perform

## Slot -1 – Quantitative Aptitude – Arithmetic – Time and Work – Humans and robots can both perform

Humans and robots can both perform a job but at diﬀerent eﬃciencies. Fifteen humans and ﬁve robots working together take thirty days to ﬁnish the job, whereas ﬁve humans and ﬁfteen robots working together take sixty days to ﬁnish it. How many days will ﬁfteen humans working together (without any robot) take to ﬁnish it?

a) 36
b) 40
c) 45
d) 32

Solution:

Given, 15/H+5/R=1/30  ——-1)
And 5/H+15/R=1/60  ——–2)

By solving eq 1) & eq 2) we get
1/(H )=1/(40×12)

Thus H = 40×12
So time taken by 15 humans = 40×12/15=32

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