Multiple choice

A takes twice as much time as B and thrice as much as C. If they complete the work in 1 day together. In what time will A alone complete the work ? A, B से दोगुना तथा C से तीन गुना समय लेता है। यदि ये तीनों मिलकर कोई कार्य 1 दिन में पूरा कर लेते हैं तो A अकेले उसे कितने दिनों में पूरा कर लेगा ?

  1. 2

  2. 4

  3. 6

  4. 15

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let A's time alone = a days. Then B takes a/2 days (half of A), and C takes a/3 days (one-third of A). Their daily work rates: A = 1/a, B = 2/a, C = 3/a. Combined rate = 1/a + 2/a + 3/a = 6/a. They complete work in 1 day, so 6/a = 1, giving a = 6. Therefore, A alone takes 6 days. This matches option C.