Time and Work Quiz for IBPS PO 2017: Set 2

1. A can finish a job in 8 days and B in 10 days. They finish the work together and paid Rs. 4500 for the whole work done. How will they divide the money?
A. Rs. 2500, Rs. 2000
B. Rs. 2000, Rs. 2000
C. Rs. 3000, Rs. 1500
D. Rs. 1500, Rs. 3000
2. 25 persons can finish a certain work in 20 days. When should 15 persons leave the work, if the whole work is to be finished in 37.5 days after they leave the work?
A. 17 days
B. 12 days
C. 8 days
D. 5 days

3. The work done by a man, a woman and a child is in the ratio of 3 : 2 : 1. There are 20 men, 30 women and 36 children in a shoe factory. Their hourly wages amount to Rs. 780, which is divided in the ratio of work done by the men, women and children. What will be the wages of 15 men, 21 women and 30 children for 2 hours?
A. Rs. 980
B. Rs. 1170
C. Rs. 2110
D. Rs. 1240

4. A can do a piece of work in 40 days. He starts working but having some other engagements he drops out after 5 days. Thereafter, B completes this work in 21 days. How many days would A & B take to complete this work working together?
A. 16 days
B. 15 days
C. 17 days
D. 11 days

5. A alone would take 8 h more to complete the job than if both A and B worked together. If B worked alone, he took 4 ½ hour more to complete the job than if A and B worked together. Than if A and B worked together. What time would they take if both A and B worked together?
A. 8 days
B. 5 days
C. 2 days
D. 6 days

Answers

1. Option (A)

• A : B 
• Time 4 : 5 
• Work 5 : 4 
• So, A’s Share=5/9*4500=2500 
• B’s Share=4/9*4500=2000 

2. Option (D)

• 10 person can finish work= 25*20/10=50days 
• 15 person leave the work & work done in 37.5day 
• Only 37.5/50=3/4 part of the work. hence all person must work 
• Till (1-3/4)=1/4 of the work finished 
• 25 person ¼ work in 20/4=5days. 
• So, 15 person should leave the work after 5 days. 

3. Option (B)

• 20*3x+30*2x+36x=780 
• X=5 
• So, required amount= 2(15*3*5+21*2*5+30*5)=1170 

4. Option (B)
15 days

5. Option (D)

• A (x+8) 
• A (x+9/2) 
• (x+8)(x+9/2)/(2x+25/2) = x 
• X = 6days 

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