Latest Gate Aptitude Question SOLUTION: For the same amount of work carpenter A takes 6 hours less than carpenter B, if together they complete the work in 13 hrs 20 min; in how much time will carpenter B alone complete t

• Placement Papers
• /
• Gate
• /
• Numerical Ability
• /
• Time and Work

Gate Question Papers:

(#M40034383) GATE Numerical Ability question time Keep an EYE

For the same amount of work carpenter A takes 6 hours less than carpenter B, if together they complete the work in 13 hrs 20 min; in how much time will carpenter B alone complete the work?

Asked In Gate likhith vallabhaneni (10 years ago)

Solved Ann Theressa Read Solution (4)

Is this Puzzle helpful?   (5)   (4) Submit Your Solution Time and Work

Read Solution (4) :

Karan  (10 years ago)

A..24 hrs
B... 30 hrs

Is this solution Helpfull? Yes (3) | No (1)  

Ann Theressa  (10 years ago)

Let time taken by A and B be x and (x+6)

x(x+6)/(x+x+6) = 13 hrs 20 min
x(x+6)/(2x+6) = 40/3 hrs

3x(x+6) = 40(2x+6)
solving x = 24

Time taken by
A= 24 hrs
B = 30 hrs

Is this solution Helpfull? Yes (3) | No (2)  

Saraswathy  (10 years ago)

A ll finish 6 hours before B
So A = B-6 ---->(1)

Both ll finish in 13 hrs 20 min (ie) 40/3 hrs

A + B 's 1 hr work is

1/B-6 + 1/B = 3/40
B+B-6/B^2-6B = 3/40
3B^2-98 +240 = 0

After factorizing , v ll get B = 8/3 nd B = 30

Take whole number (ie) B=30

so A = B-6 =====> A = 30 - 6 = 24


B alone ll complete d work in 30 days

Is this solution Helpfull? Yes (3) | No (2)  

Saraswathy  (10 years ago)

sorry its 30 hrs not days

B alone ll finish in 30 hrs

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

Please Login to Read Solution.