Robert Bosch Time & Work Quiz-3

Answer: B
Explanation: We can easily apply the chain rule here.
According to the rule,
\frac{N1\times D1\times H1\times E1}{W1} = \frac{N2\times D2\times H2\times E2}{W2}
=>\frac{2\times 8\times 12\times 90}{9} = \frac{3\times 6\times H2\times 90}{12}
Hence, H2 = 16 hrs/day

Answer: 62.50
Explanation: Ratio of times taken by Rishikesh and Shivangi to do the job = 12 : 20 = 3 : 5.
Ratio of work done by them when they work together = 5 : 3.
Share of Rishikesh = 5/(5 + 3) x 100 = 5/8 x 100 = Rs.62.50

Answer: D
Explanation: Work completed in 9 days by Sachin, Virat and Dhoni together = 3/12 + 3/24 + 3/C
= 1/4 + 1/8 + 3/C
= 3/8 + 3/C
Remaining work = 1- 3/8 – 3/C = 5/8 – 3/C
5/8 – 3/C = 27/C
30/C = 5/8
C = 48 days
Hence, Dhoni will take 48 days to make a semiconductor chip.

Answer: B
Explanation: Syllabus Shruti will cover in a day = 1/20
Syllabus Shruti will cover in a day = 1/30
Syllabus Shruti and Anjali covers = x/20 + (x – 5)/30 = 1

=> 3x + 2x – 10 = 60
=> 5x = 70
=> x = 14 days

Answer: B
Explanation: LCM of 30, 18 and 15 = 180
Total work = 180 units
A
Kunal’s per day work = 180/30 = 6 units
(Kunal+Naveen)’s per day work = 180/18 = 10 units
(Kunal+Naveen+Ashwin)’s per day work = 180/15 = 12 units
Naveen’s per day work = 10 – 6 = 4 units
Ashwin’s per day work = 12 – 10 = 2 units
Efficiency ratio of Kunal, Naveen and Ashwin = 6: 4: 2 = 3: 2: 1
Naveen’s wage = 2/6 * 1800 = Rs.600

Answer: B
Explanation:
(Anish + Basant)’s one day work = 1/20
Basant’s one day work = 1/30
Anish’s one day work = 1/20 – 1/30
= (3 – 2)/60 = 1/60
Anish completes the whole work in 60 days.
Anish completes the 75% of the work in (60 * 75/100) = 45 days

Answer: A
Explanation:
For Wall A.
We assume total days taken to build a wall is LCM of 48 and 60 = 240x
Then,
Terry’s efficiency = 240/48 = 5x
John’s efficiency = 240/60 = 4x

For Wall B
1 day’s work of terry and john = 5x + 4x = 9x
But According to the Question,
Terry can do in (x+16) days
So. Total work = 9x = 5(x+16) => x = 20
Hence, Total Work = 20 x 9 = 180
John alone can do the whole work in 180/4 = 45 days

Answer: A
Explanation:
5 Boys = 6 Days
2 Boys = 30/2 days = 15 days

6 Girls = 10 Days
3 Girls = 20 Days

3 Children = 8 days
1 Children = 8 × 3 = 24 days
Total work = LCM of 15, 20 and 24 = 120
2 Boy’s one day’s work = 8
3 Girl’s one day’s work = 6
1 Child’s one day’s work = 5
Total work of 3 days = 19
Total work of 18 days = 114
Now, it’s 2 Boy’s terms
So, 2 Boys will be the last to complete the work.

Answer: B
Explanation: Total amount earned by Aditya ,Bipul, and Chetan in 6 days = Rs 660
The amount earned by them in 1 day = 660/6 = 110
Amount of money earned is proportional to the amount of work done
Let work done by Aditya ,Bipul and Chetan be 4x, 5x and 7x.
∴ Total work done by Aditya ,Bipul and Chetan together= 16x
Work done by Bipul = 5x
Daily income of Bipul = 5/16 x 110 = 550/16 = 225/8

Answer: D
Explanation:
According to the question,
\frac{B}{A+V} = \frac{1}{3} —------(1)
\frac{V}{A+B} =\frac{1}{4} —-------(2)
Solving both equations
A:B:V = 11:5:4
Total work in one day = 11+5+4 = 20
Total work in 5 days = 20 x 5 = 100
Time taken by Bhusan and Vani = 100/9 ans