Time and Work MCQ Set 1

Showing question 1 to 5 of total 20 MCQs

Solve the question on your notebook and check it by clicking (Answer and Explanation) below question.

Question No: 1

Worker A takes 8 hours to do a job. Worker B takes 10 hours to do a job. How long should it take both A and B, working together to do same job.

Answer: D

Explanation

In this type of questions, first we need to calculate 1 hours work, then their collective work as,

p>A's 1 hour work is 1/8

B's 1 hour work is 1/10

(A+B)'s 1 hour work = 1/8 + 1/10 = 9/40

So both will finish the work in 40/9 hours =

Question No: 2

A and B can together complete a piece of work in 4 days. If A alone can complete the same work in 12 days, in how many days can B alone complete that work ?

1. 4 days
2. 5 days
3. 6 days
4. 7 days

Answer: C

Explanation

(A+B)'s 1 day work = 1/4

A's 1 day work = 1/12

B's 1 day work =

So B alone can complete the work in 6 days

Question No: 3

A does a work in 10 days and B does the same work in 15 days. In how many days they together will do the same work ?

1. 5 days
2. 6 days
3. 7 days
4. 8 days

Answer: B

Explanation

Firstly we will find 1 day work of both A and B, then by adding we can get collective days for them,

So,

A's 1 day work = 1/10

B's 1 day work = 1/15

(A+B)'s 1 day work =

So together they can complete work in 6 days.

Question No: 4

A can finish a work in 18 days and B can do same work in half the time taken by A. then working together, what part of same work they can finish in a day

1. 1\5
2. 1\6
3. 1\7
4. 1\8

Answer: B

Explanation

Please note in this question, we need to answer part of work for a day rather than complete work. It was worth

mentioning here because many do mistake at this point in hurry to solve the question

So lets solve now,

A's 1 day work = 1/18

B's 1 day work = 1/9 [because B take half time than A]

(A+B)'s one day work =

So in one day 1/6 work will be done.

Question No: 5

A tyre has two punctures. The first puncture alone would have made the tyre flat in 9 minutes and the second alone would have done it in 6 minutes. If air leaks out at a constant rate, how long does it take both the punctures together to make it flat ?

Answer: C

Explanation

Do not be confused, Take this question same as that of work done question's. Like work done by 1st puncture in 1

minute and by second in 1 minute.

Lets Solve it:

1 minute work done by both the punctures =