TCS
Company
Numerical Ability
Time and Work
George can do a piece of work in 8
hours. Paul can do the same work in
10 hours, Hari can do the same work
in 12 hours. George, paul and hari
start the same work at 9 am, while
george stops at 11 am, the remaining
two complete the work.
What time will the work complete?
Read Solution (Total 5)
-
- 1.05pm work will complete
- 10 years agoHelpfull: Yes(7) No(0)
- 1.09pm work will complete
- 10 years agoHelpfull: Yes(6) No(0)
- take total work unit:120(l.c.m of 8,10,12)
george=>120/8=15units,paul=>120/10=12units,hari=>120/12=10units.
first two hours all the three members are worked.so,
=>2(15+12+10)
=>74
=>remaining=120-74=46
=>46/(12+10)
=>appr 2 hours
so the work will be completed at 1 pm. - 10 years agoHelpfull: Yes(3) No(0)
- ans is 1.09
let the total unit of work be 120
now
george can complete a work in 8 hour
it means he does 15 units work per hour . ( AS 8*15= 120)
SIMILARLY
paul does 12 unit of work per hour . ( AS 10*12=120)
AND hari does 10 units of work per hour .
now
G+P+H does 15+12+10 = 37 UNITS OF WORK PER HOUR
G+P+H WORKS FOR 2 HOURS AND AFTER THAT GEORGE STOP WORKING
THEY WORK FOR 2 HOURS (9.00 AM TO 11.00 AM ) that is THEY COMPLETE 37*2 (74) UNIT OF WORK
TOTAL WORK =120
REMAINING WORK 120-74=46
NOW P+H DOES THE REMAINING 46 UNIT OF WORK
P+H= 22 UNIT OF WORK PER HOUR
NOW , TIME = 46 UNIT OF WORK DIVIDED BY 22 UNIT OF WORK PER HOUR
46/22 = 2 2/22 THAT IS 2 1/11 = 2.09
HENCE TOTAL TIME = 2 HRS + 2 HRS + 0.9 = 4.09
FROM 9:00 AM + 4 HRS + .09 MIN === 1.09 PM ..
- 10 years agoHelpfull: Yes(2) No(0)
- can anybody xpln it clearly
- 10 years agoHelpfull: Yes(0) No(0)
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