Time and Work Problem Question Answers Test – Page 2

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? 
A
4
B
8
C
6
D
Cannot be determined
E
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?
A
8 days
B
12 days
C
16 days
D
48 days
E
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? 
A
16 minutes
B
26 minutes
C
46 minutes
D
36 minutes
E
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 minSHORTCUT METHOD: Applying the same formula X = 300/15 = 20 K = (100 + 40)% = 140/100 = 1.4So 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? 
A
3
B
6
C
12
D
24
E
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?
A
10 days
B
12 days
C
15 days
D
16 days
E
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?
A
6 days
B
24/5 days
C
12/1.75 days
D
Cannot be determined
E
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?
A
30 days
B
32 days
C
35 days
D
40 days
E
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?
A
16 days
B
12 days
C
14 days
D
10 days
E
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?
A
4
B
8
C
6
D
Cannot be determined
E
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?
A
8 days
B
12 days
C
16 days
D
48 days
E
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?
A
16 minutes
B
26 minutes
C
46 minutes
D
36 minutes
E
6 minutes
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