InfyTQ Time and Work Quiz 3

raju+vicky+tinku one day work =\left ( \frac{1}{10} \right )+\left ( \frac{1}{12} \right )+\left ( \frac{1}{15} \right )=\left ( \frac{1}{4} \right )
now for 2 days together work done= 2*(1/4)= 1/2
......now work done by tinku in last 3 days alone=(3/15)=(1/5)
remaining work= 1-(1/2 + 1/5)= 3/10
....now vicky+tinku one day work=(1/12)+(1/15)=9/60
therefore 3/10 work will be done by both of them in= \left ( \frac{60}{9} \right )\times \left ( \frac{3}{10} \right )= 2 days
now answer=

2days(as got from above; it is days required to do rem. work)+ 3days(when vicky leaves)+2days(raju leaves)=7 days ans.

Video solution:

(60 x 40) men complete the work in 1 day
1man 1 day work is= \frac{1}{60}\times 40
60 men  5 day work is=  5\times \frac{1}{40}=\frac{1}{8}
remaining work=  1-\frac{1}{8}=7/8
as 5 men leave
55 men 1 day work=\frac{1}{60}\times 40=\frac{11}{60}\times 8
now
\frac{11}{60}\times 8 work done by them 1day
7/8 work done by them [(60*8)/11]*(7/8)=420/11=38.18
so they complete in (38.18+5) days{5 day added bcoz alrdy 5day work had been done.}
43.18-day total work will be completed.

Video solution:

1 day work for (A+B+C) = 1/36 ............(ii)
Now, (A+B) = 2C ..........................(i)
From (i)and(ii): 3C = 1/36
C = 1/108
Thus, C takes 108 days to complete the whole work alone.
(Remaining data are not required in this case)

AE:30 is multiple of both 10 and 30 which is less than 50. ... possible
answer.
AB: there is no multiple of 10 and 12 less than 50. ..... not possible answer.
BC: Same logic as that of AB. ..... not possible answer.
DE: Same logic as that of AB. ..... not possible answer.
Hence answer is AE.

50% suppose A do work in x hrs,B in y, then c would do in x-1 hrs..then
1/x+1/x-1+1/y=1 in 1 hrs..also A&B 1 hrs work 1/x+1/y then work remaining
xy-x-y/xy which is done by B in 3 hrs so (xy-x-y)/xy=3/y it results y=4x/x-1

putting value we get x=3 so y=6 so

A can-do work  in 3 hrs B in 6 hrs & C IN 2 hrs that is 50%

This can be solved with the help of efficiency.Efficiency of (aravind
+mani+hari) =total efficiency
Here,
No. Of Days taken by Aravind =24 Efficiency of aravind =1/24
No.of days taken by mani=36 Efficiency of mani=1/36
No. Of days taken when all the three work together =8
Efficiency of all thr three together=1/8
Let the no. Of days taken by hari to complete the job be x.
Then efficiency of hari =1/x Now, from the above formula
1/24 + 1/36 + 1/x = 1/8
x=18

Find the number of boxes that the 16 men can load in 9 minutes

If 1 man can load a box in 9 minutes

The 16 men will load = 1 × 16 boxes in 9 minutes

Therefore the 16 men can load together 16 boxes in 9 minutes

Find the number of minutes in 1 and half hour:

1 hour 30 minutes = 1 × 60 minutes + 30 minutes

= 60 + 30 minutes = 90 minutes

Therefore the total time the 16 men worked was 90 minutes

If in 9 minutes they load  = 16 boxes

Then in 90 minutes they load = 16 boxes × 90 minutes/9 minutes

= 160 boxes

Therefore after 1 and half hour the 16 men will have loaded 160 boxes

Find the number trucks that will be loaded:

If 8 boxes  = 1 truck

Then 160 boxes = 1 truck × 160 boxes/8 boxes

=  20 trucks

Therefore after 1 and half hour the 16 men will have loaded 20 trucks

10C6 x 10C4 + 10C7 x 10C3 + 10C8 x 10C2 + 10C9 x 10C1 + 10C10 x 10C0
= 44100+14400+2025+100+1
= 60626

George can do the work in 8 hours

⇒ 1 hour = 1/8 of the work

Paul can do the work in 10 hours

⇒1 hour = 1/10 of the work

Hari can do the work in 12 hours

⇒ 1 hour = 1/12 of the work

Find the amount of work that can be completed in an hour:

⇒ 1 hour = 1/8 + 1/10 + 1/12 = 37/120

Find the amount amount of work completed in 2 hours (9 am to 11 am):

⇒ 1 hour = 37/120

⇒2 hours = 37/120 x 2 = 37/60

Find the amount of work remain:

Work remain = 1 - 37/60 = 23/60

Find the amount of work Paul and Hari can do in an hour:

1 hour = 1/10 + 1/12 = 11/60

Find the number of hours needed for them to complete the rest of the work:

Number of hours needed = 23/60 ÷ 11/60 = 2.09 hours = 2 hours

Find the time the work is completed:

11am + 2 hours = 1 pm

Video solution: