Latest CTS Aptitude Question SOLUTION: A can do a work in 12 hours, B can do in 14 hours. They work alternatively starting from A. A earns rs.15/hr. How much does he earn from the whole job? a)rs.90 b)rs.165 c)rs.105 d

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(#M40152661) CTS Numerical Ability question time and work Keep an EYE

A can do a work in 12 hours, B can do in 14 hours. They work alternatively starting from A. A earns rs.15/hr. How much does he earn from the whole job?

a)rs.90
b)rs.165
c)rs.105
d)rs.75

Asked In CTS S.keerthana (8 years ago)

Unsolved Read Solution (6)

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Read Solution (6) :

Devendra Marghade  (8 years ago)

c) Rs. 105

If A & B each works alternatively for 1 hr., then their 2 hr. work=(1/12)+(1/14)=13/84
So in 12 hr. 6 times of this work will be completed=6*13/84=39/42, Remaining work=1/14
Now again A's turn will be to complete next 1/12 work which will he requires 1 hr.
So A's total work=6+1=7 hr. and earning from the job @Rs. 15/hr= 7*15=105

Is this solution Helpfull? Yes (15) | No (3)  

Kiran Kumar  (8 years ago)

Assume total work is 84
A's 1 day work is 7
B's 1 day work is 6
so both can do (A+B)'s 1 day work is 13
13*6=78
and 6 is remaining from total wotk
for 6 days A earned 90
and for extra 6 work total A earned is 105

Is this solution Helpfull? Yes (6) | No (3)  

vinay   (8 years ago)

(AB AB AB AB AB AB) A
(AB AB AB AB AB AB) UPTO THIS 13/14 th of work is done.
and next is A's turn whose capability is to do 1/12th of work in 1 hr so he does the remaining work which is 1/13th of work.
So A's turns are 7. so 7*15 =105 rupees

Is this solution Helpfull? Yes (5) | No (3)  

Y P GOWTHAM REDDY  (8 years ago)

I think its c because to complete the work they 12 6/7 days.(1/12+1/14=13/84)so they take 12 6/7 days.so a wrks for 6 6/7 days so 90+12=102

Is this solution Helpfull? Yes (3) | No (9)  

Sakthi  (8 years ago)

ans =(90)

Is this solution Helpfull? Yes (2) | No (11)  

priyadharsini  (5 years ago)

ANSWER IS 90.
THEY DO IT ALTERNATIVELY EACH HOUR SO A TOTALLY DOES WORK FOR 6 HOURS AND IS PAID RS 15 PER HOUR SO, 15*6 = 90 IS THE ANSWER.
WE ARE NOT BOTHERED ABOUT THE 14 HOURS OF WORK DONE BY B AS TAKES ONLY 12 HOURS TO COMPLETE. THE EXTRA 2 HOURS WORK IS DONE BY B NOT BY A.

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