Time ans Work MCQ Questions and answers-

1. A and B complete a work in 6 days. A alone can do it in 10 days. If both together can do the work in how many days?
Veiw Answer
Answer: 3.75 days
Explanation:
1/6 + 1/10 = 8/30 = 4/15

15/4 = 3.75 days

2. A and B together can do a piece of work in 8 days. If A alone can do the same work in 12 days, then B alone can do the same work in?
Veiw Answer
Answer: 24 days
Explanation:

B = 1/8 – 1/2 = 1/24 => 24 days

3.A can do a piece of work in 4 days. B can do it in 5 days. With the assistance of C they completed the work in 2 days. Find in how many days can C alone do it?
Veiw Answer
Answer: 20 days
Explanation:

C = 1/2 - 1/4 - 1/5 = 1/20 => 20 days

4. A and B can do a piece of work in 6 2/3 days and 5 days respectively. They work together for 2 days and then A leaves. In how many days after that B will complete the work alone.
Veiw Answer
Answer: 1 ½ days
Explanation:

3/20 * 2 + (2 + x)/5 = 1

x = 1 ½ days

5. A can do a piece of work in 30 days. He works at it for 5 days and then B finishes it in 20 days. In what time can A and B together it?
Veiw Answer
Answer: 13 1/3 days
Explanation:

5/30 + 20/x = 1

x = 24

1/30 + 1/24 = 3/40

40/3 = 13 1/3 days

6. A and B can do a piece of work in 7 days. With the help of C they finish the work in 5 days. C alone can do that piece of work in?
Veiw Answer
Answer: 30 days
Explanation:

C = 1/5 – 1/6 = 1/30 => 30 days

7. Ravi can do a piece of work in 30 days while Prakash can do it in 40 days. In how many days will they finish it together?
Veiw Answer
Answer: 17 1/7 days
Explanation:

1/30 + 1/40 = 7/120

120/7 = 17 1/7 days