A can do a job in 3h , B in 4h , and C in 6h If they all - Maths - Direct and Inverse Variations

Question

A can do a job in 3h , B in 4h , and C in 6h If they all work
together and Rs 360 , how much money should they get

Rashi Lokwani · Accepted Answer

Dear Student,

Question correction:
A can do a job in 3 hours while B can do it in 4 hours
and C can do it in 6 hours
If they work together and earn Rs 350, how should they share the
money ?

Solution:

A can do a job in 3 hours
Work done by A in 1 hour = 13B can do a job in 4 hours
Work done by B in 1 hour = 14C can do a job in 6 hours
Work done by C in 1 hour = 16Work done by them together in one hour = 13+14+16 = 4+3+212 = 912 = 34Portion of work done by A in 1 hour = 1334 = 13×43 = 49Portion of work done by B in 1 hour = 1434 = 14×43 = 13 = 39Portion of work done by A in 1 hour = 1634 = 16×43 = 29Ratio of work done by A, B and C in one hour = 49:39:29 = 4:3:2So, the amount received by them should be distributed in this ratio:A's share = 360×49 = Rs
 160B's share = 360×39 = Rs
 120C's share = 360×29 = Rs
 80

Regards

A can do a job in 3h , B in 4h , and C in 6h. If they all work together and Rs. 360 , how much money should they get