Time and Work

Correct Answer : Option a

India Post builds a machine that can address 1000 envelopes in 10 minutes.
Rate of first machine = 1000/10 = 100 envelopes per minute.

Combined rate of both machines:
Together, both machines can address 1200 envelopes in 4 minutes.
Rate of both machines = 1200/4 = 300 envelopes per minute.

Rate of the second machine:
Rate of second machine = Combined rate - Rate of first machine = 300 – 100 = 200

200 envelopes per minute.

Time taken by second machine to address 500 envelopes:
Time = 500/200 = 2.5 minutes.

Statement I: Correct (The second machine takes less time than the first machine to address 500 envelopes. First machine would take 500/100 = 5 minutes).

Statement II: Incorrect (The time taken by the second machine to address 500 envelopes is 2.5 minutes, not 15 minutes).

So, option a is correct.

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