CAT Exam Model Paper 2 with solutions for free online practice

Question : 83 of 100

Marks: +1, -0

Two workers undertake to do a job. The second worker started working 2 hours after the first. Five hours after the second worker has begun working there is still

9/20

of the work to be done. When the assignment is completed, it turns out that first worker has done rest of the work. How many hours would it take each one to do the whole job individually?

10 hours and 12 hours
15 hours and 10 hours
20 hours and 25 hours
18 hours and 20 hours

Validate

Solution:

(c) Go through option. Consider choice (c).
Efficiency of first worker = 5%
Efficiency of second worker = 4%
∴ In 7 hours first worker completed 35% work
In 5 hours second worker completed 20% work
Thus, work completed = 55%
Remaining work = 45%
Hence, one condition is satisfied.
Again, first worker will take 9 more hours to complete 45% work

[45/4=9]

Thus, first person completes 7 × 5 + 9 × 5 = 80% work
and second person completes 5 × 4 = 20% work
Hence, second condition is also satisfied.

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