Working alone

Tom and Chandri are doing household chores. Chandri can do the work twice as fast as Tom. If they work together, they can finish the work in 5 hours. How long does it take Tom working alone to do the same work?

Correct result:

T =  15 h

Solution:

C=T/2  5(1/C+1/T)=1 5(2/T+1/T)=1 5⋅ 3/T=1 T=5⋅ 3=15 h=15 h  C=T/2=15/2=152=7.5 h  x=5⋅ (1/C+1/T)=5⋅ (1/7.5+1/15)=1 x=1

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