CAT Exam Model Paper 5 with solutions for free online practice

Question : 6 of 60

Marks: +1, -0

A welder can finish job A and job C in 10 days and 20 days respectively. A blacksmith can finish job B and job C in 15 days and 10 days respectively. On the first day, two welders begin work on job A and a day later three blacksmiths begin work on job B. What is the least time required to complete all the three jobs?

$33/4$ days
$37/4$ days
$31/4$ days
None of these

Validate

Solution:

Let A involves 30 units, B involves 15 units and C involves 20 units of work.
One welder does 3 units of A and 1 unit of C in a day.
One blacksmith does 1 unit of B and 2 units of C in a day.
Two welders would take 5 days to complete A. They finish A at the end of day 5.
On day 6 they finish 2 units of C.
Three blacksmiths finish B at the end of day 6.
After days 6, two welders and three blacksmiths together would take 18/8 days to finish the rest of C.
So in all it takes

33/4

days to complete all the jobs.

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