Latest Syntel Aptitude Question SOLUTION: A can do a piece of work in 5 hours, B in 9 hours and C in 15 hours. if C could work with them for 1 hour only, the time taken by A and B together to complete the work is. [A] 8 ho

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(#M40007021) SYNTEL Numerical Ability question Time and work problem Keep an EYE

A can do a piece of work in 5 hours, B in 9 hours and C in 15 hours. if C could work with them for 1 hour only, the time taken by A and B together to complete the work is.
[A] 8 hours
[C] 5 hours
[B] 3 hours
[D] 2 hours

Asked In Syntel (12 years ago)

Solved pooja singh Read Solution (4)

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Read Solution (4) :

Anandeeswari  (10 years ago)

answer = 2 hours

Is this solution Helpfull? Yes (17) | No (6)  

pooja singh  (10 years ago)

A work in 1 hour=1/5
b work in 1 hour =1/9
c work in 1 hour = 1/15

a+b+c work in 1 hour = 1/5 + 1/9+ 1/15=17/45
c's work in 1 hour= 1/15
after 1 hour remaining work = 1-1/15=14/15
a+b work in 1 hour= 1/5+ 1/9 = 14/45
remaining work by a+b in 1 hour = 14/45 * 15/14 = 1/3
so a and b work together to complete this work in 3 hours.

Is this solution Helpfull? Yes (5) | No (6)  

mounika  (10 years ago)

C one hour work is 1/15
i.e 1/15 of the work completed by c
remaining 14/15 work can be completed by A and B

A+B one day work is 1/9+1/15=14/45

Is this solution Helpfull? Yes (1) | No (11)  

pavanichilakala  (6 years ago)

A can do a work in 1 hour is 9 parts
B can do a work in 1hour is 5 parts
c can do a work in 1 hour is 3 parts

total work is 45 parts

so, if c could work with them for 1 hour is = 9+5+3 = 17 parts completed
remaining parts A and B completed. their 1 hour work is 14 parts

so, 17(1hr)+14(1 hr)+14(1 hr)

remaining work is complete in 2hrs

Is this solution Helpfull? Yes (1) | No   

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