Time and Work Problem Question Answers Test – Page 2

## Time and Work 2

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Question 1 |

**2 men can complete a piece of work in 6 days. 2 women can complete the same**

**piece of work in 9 days, whereas 3 children can complete the same piece of work in 8**

**days. 3 women and 4 children worked together for 1 day. If only men were to finish**

**the remaining work in 1 day, how many total men would be required?**

4 | |

8 | |

6 | |

Cannot be determined | |

None of These |

Question 1 Explanation:

2M × 6 = 2W × 9 = 3C × 8
=> 12M = 18W = 24C
12M = 18W 12M = 24C
=> 2M = 3W 1M = 2C
But 3W + 4C = 2M + 2M = 4M
If x be the number of men required to finish the remaining work in 1 day
2 × 6 = 4 × 1 + x ×1
=> x = 12 – 4 = 8

Question 2 |

**X can do a piece of work in 24 days. If Y works twice as fast as X, how long would**

**they take to finish the work working together?**

8 days | |

12 days | |

16 days | |

48 days | |

36 days |

Question 3 |

**Yesterday Vani completed 300 units of work at the rate of 15 units per minute.**

**Today she completed the same units of work but her speed was 40% faster than**

**yesterday. What is the**

**approximate**

**difference in the time she took to complete the**

**work yesterday and the time she took today?**

16 minutes | |

26 minutes | |

46 minutes | |

36 minutes | |

6 Minutes |

Question 3 Explanation:

Yesterday time taken by Vani to finish the work = 300/15 = 20
Today she is 40% faster i.e. 140% as efficient as the other day
Today time taken by her to finish the work = 20/(140%) = (20 ×100)/140 ≅ 14min
The required difference = 20 – 14 = 6 min
SHORTCUT METHOD:
Applying the same formula
X = 300/15 = 20 K = (100 + 40)% = 140/100 = 1.4
So today Vani can finish the work in 20/(1.4 ) ≅14 days
Required difference = 20 – 14 = 6 min

Question 4 |

**A job can be completed by 12 men in 12 days. How many extra days will be**

**needed to complete the job in 6 men leave after working for 6 days?**

3 | |

6 | |

12 | |

24 | |

None of These |

Question 5 |

**A builder decided to build a house in 50 days. He employed 150 men at the**

**beginning and another 80 men after 20 days and completed the work in stipulated**

**time. If he had not employed the additional men, how many days behind schedule**

**would it have been finished?**

10 days | |

12 days | |

15 days | |

16 days | |

18 days |

Question 6 |

**Two men alone or three women alone can complete a piece of work in 4 days. In**

**how many days can 1 woman and one man together complete the same piece of**

**work?**

6 days | |

24/5 days | |

12/1.75 days | |

Cannot be determined | |

None of These |

Question 7 |

**If one man or three women or five boys can do a piece of work in 46 days then**

**how many days will one man, one woman and one boy together take to complete the**

**same piece of work?**

30 days | |

32 days | |

35 days | |

40 days | |

None of These |

Question 8 |

**8 men can complete a piece of work in 20 days. 8 women can complete the same**

**piece of work in 32 days. In how many days will 5 men and 8 women together**

**complete the same work?**

16 days | |

12 days | |

14 days | |

10 days | |

None of These |

Question 9 |

**2 men can complete a piece of work in 6 days. 2 women can complete the same**

**piece of work in 9 days, whereas 3 children can complete the same piece of work in 8**

**days. 3 women and 4 children worked together for 1 day. If only men were to finish**

**the remaining work in 1 day, how many total men would be required?**

4 | |

8 | |

6 | |

Cannot be determined | |

None of These |

Question 10 |

**X can do a piece of work in 24 days. If Y works twice as fast as X, how long would**

**they take to finish the work working together?**

8 days | |

12 days | |

16 days | |

48 days | |

36 days |

Question 11 |

**Yesterday Vani completed 300 units of work at the rate of 15 units per minute.**

**Today she completed the same units of work but her speed was 40% faster than**

**yesterday. What is the**

**approximate**

**difference in the time she took to complete the**

**work yesterday and the time she took today?**

16 minutes | |

26 minutes | |

46 minutes | |

36 minutes | |

6 minutes |

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