Multiple choice

Passage

Directions: Read the given information carefully and answer the question. There are four different types of project coded such that project 1 = P 1 , project 2 = P 2 , project 3 = P 3 , and project 4 = P 4 . The following information gives the number of days taken by three different persons to complete a particular project alone. Anisha completes the projects P 1 , P 2 , P 3 and P 4 in 20 days, 30 days, 15 days and 10 days, respectively. Radha completes the projects P 1 , P 2 , P 3 and P 4 in x days, (x + 5) days, (x + 5) days and (x + 10) days, respectively. Veena completes the projects P 1 , P 2 , P 3 and P 4 in (y - 5) days, (y + 5) days, (y - 15) days and z days, respectively. Anisha and Radha together can complete the project P 4 in 7.5 days, Radha and Veena together can complete the project P 1 in 12 days, and Anisha and Veena together can complete the project P 4 in 5 days.

A = Time taken (in days) by Radha and Veena to complete the project P2 B = Time taken (in days) by Anisha and Radha to complete the project P4 Which of the following options is correct considering the above statements?

  1. A : B = 39 : 64

  2. A : B = 80 : 39

  3. A : B = 36 : 83

  4. A : B = 42 : 65

  5. A : B = 42 : 83
Reveal answer Fill a bubble to check yourself
B Correct answer
AI explanation

Using the work equivalence method for Anisha and Radha on project P4, we add 1/10 and 1/(x+10) to equal 1/7.5, which solves to x equals 5, making Radha's time for P2 equal to 10 days and her daily work rate 1/10. For Radha and Veena on project P1, adding 1/5 and 1/(y-5) equals 1/12, which solves to y equals -25, making Veena's time for P2 equal to -20 days and her daily work rate -1/20. Combining their daily work rates for P2 gives 1/10 minus 1/20, equaling 1/20, so statement A is 20 days, while statement B is already given as 7.5 days, making the ratio 20 to 7.5, or 80 to 39.

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