Raj, Mayank and Neer, can complete a work in 30, 35 and 28 days, respectively.
Consider the following statements:
(A) Raj and Mayank, together will complete the work in 210/13 days.
(B) Mayank, and Neer, together will complete the work in 140/3 days.
(C) Raj and Neer, together will complete the work in 420/29 days.
(D) Raj, Neer, and Mayank, together will complete the work in 420/41 days.
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → (A), (C) and (D) only
Add the one-day works. Raj and Mayank: 1/30 + 1/35 = 13/210, so they take 210/13 days — (A) is right. Raj and Neer: 1/30 + 1/28 = 29/420, so 420/29 days — (C) is right. All three: 1/30 + 1/35 + 1/28 = 41/420, so 420/41 days — (D) is right.
(B) is wrong. Mayank and Neer give 1/35 + 1/28 = 9/140, so together they take 140/9 days, not 140/3.