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Question

A has completed two-third of a job in 8 days, and B completes the rest of the job in 20 days. In how many days can they together complete the job?

The correct answer is

10

A completes 2/3 of the job in 8 days. So, A's rate of work is (2/3)/8 = 1/12 of the job per day. B completes 1/3 of the job in 20 days. So, B's rate of work is (1/3)/20 = 1/60 of the job per day. Together, their rate of work is 1/12 + 1/60 = 6/60 = 1/10 of the job per day. Therefore, they can complete the job together in 10 days.

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Important Questions from Time and work

  1. In a circular race on a track of length 2000 m, X and Y start from the same point at the same time in opposite directions at the speeds of 15 km/h and 33 km/h, respectively. After how much time will they meet next?

  2. Which of the following option figures will complete the pattern in the figure given below?

  3. The smallest 4-digit prime number is:

  4. If Anand can do a piece of work in 9 days and Vinod can complete the same work in 6 days, then in how many days will both of them complete it together?

  5. Ram and Naresh can complete a work together in 20 days and Naresh and Shyam together in 15 days. All three together can complete the work in 12 days. In how many days can Ram and Shyam together complete the work?

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