Ankit Malpani

CAT Preparation Community 9y ago

1. The painting of a hotel can be done by 10 painters in 5 days. But, in reality there were few dabblers in the group of 10 painters and therefore the work took a little over 6 days for completion. A painter worked twice as fast as the dabbler and used 25% less paint than a dabbler used. If 5 litres extra paint was used than expected, then the total paint used in painting the hotel was (in litres) 2. A, B and C can do a work together in a certain number of days. If A leaves after half the work is done, then the work takes 4 more days for completion, but if B leaves after half the work is done, the work takes 5 more days for completion. If A takes 10 more days than B to do the work alone, then in how many days can C alone do the work?

1

Siva Hemanth 9y ago

let the number of painters be n

so dabblers=10-n

10 painters can complete in 5 days. so 1 painter can complete the 1/50 th of work in 1 day

since dabblers efficiency is half 1 dabbler can do 1/100 of work in 1 day

therefore (n/50)+((10-n)/100)=(1/6.xx)

n can either 5 or 6. 

let the amount of paint used by dabbler is x. so amount of paint used by painter is 0..75*x

now if n=6 

dabblers=4

4*x-6*x*0.75=5

x is negative so n<>6

if n=5

5*x-5*x*0.75=5

x=4

total paint=35 liitres


 




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