Latest Elitmus Aptitude Question SOLUTION: Q. If A can do as much work in 4 hours as B can do in 6 hours, or as C can do in 8 hours how long will it take C to complete a piece of work , one third of which has been done by A

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(#M40033010) ELITMUS Numerical Ability question Time and work Keep an EYE

Q. If A can do as much work in 4 hours as B can do in 6 hours, or as C can do in 8 hours how long will it take C to complete a piece of work , one third of which has been done by A working 8 hours and B working 18 hours?

Asked In Elitmus Ankit Boae (10 years ago)

Unsolved Read Solution (6)

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Read Solution (6) :

nandish  (10 years ago)

A takes 4hrs to complete x,
so A does 2x in 8 hrs.

B takes 6hrs to complete x,
so B does 3x in 18 hrs,

A and B together finshes 2x+3x(=1/3 of y).where y is the new work.
1/3 0f y=5x,
so 2/3 of y=10x.
this is the remaining work for c to do.
c takes 8 hrs to finish x,so he takes 80 hrs to finish the remaining work.

Is this solution Helpfull? Yes (36) | No (1)  

Dolly Singh  (9 years ago)

Really a great question

Now This is my way.....

Given that work done by A = work done by B = Work done by C

W/3 2W/3
*----------------------*-------------------------------------*
A and B C
| | |
/ / /
8 hr 18 hr Let x Hr

A ====== 4 hr => 1/4 work every hour
B ====== 6 hr => 1/6 work every hour
C=======8 hr => 1/8 work every hour

that means

8/4 + 18/6 = W/3

=> W= 15 Units

Similarly

x/8 = 10 ( (2*15)/3 = 10)

=> x = 80 hr

Is this solution Helpfull? Yes (8) | No (1)  

Ankit Aggarwa;  (10 years ago)

let A can complete x% work in 1 hour

so B can complete 4x/6 % work in 1 hour
similarly C can complete 4x/8% work in 1 hour

in 8 hours A can complete 8x% work
and in 18 hours B can complete (4x/6)*18 % = 12x% work

since one third or 100/3 % work has been done
100/3 = 8x + 12x
which gives x = 5/3%

so C's 4x/8% work will become 5/6%

now C is completing 5/6% work in 1 hour
100*(2/3) work will be completed in 80 hours

Is this solution Helpfull? Yes (6) | No (1)  

Ehtesham  (9 years ago)

let A does a% of work in 1h;
similarly B in 1h b% and C in 1h c%;

now
4a=6b=8c; (say equation 1)

8a+18b=33.33
40c=33.33; (from equation 1)
c=33.33/40

t.c=66.66
t=66.66/c
t=66.66*40/33.33
t=80;

Is this solution Helpfull? Yes (3) | No   

rahul shekhar  (6 years ago)

c completes the work in 120 hrs.

Is this solution Helpfull? Yes | No   

Shushank   (6 years ago)

A takes 4hrs to complete x,
so A does 2x in 8 hrs.

B takes 6hrs to complete x,
so B does 3x in 18 hrs,

A and B together finshes 2x+3x(=1/3 of y).where y is the new work.
1/3 0f y=5x,
so 2/3 of y=10x.
this is the remaining work for c to do.
c takes 8 hrs to finish x,so he takes 80 hrs to finish the remaining work

Is this solution Helpfull? Yes | No   

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