Question

Acan do a job in 3 hours, B in 4 hour and C in 6 hours. If they all work together and received ₹360, how much money should each get? ​

Answer 1

Step-by-step explanation:

Money should be divided in their ratio of efficiency

Answer 2

Amount each would receive are Rs. 160, Rs. 120 and Rs. 80 resp.

Step-by-step explanation:

Since we have given that

Number of days in which A can do a job = 3 hours

Number of days in which B can do a job = 4 hours

Number of days in which C can do a job = 6 hours

So, Total work = lcm of 3, 4, 6 = 12

So, Work done by A = $\dfrac{12}{3}=4$

Work done by B = $\dfrac{12}{4}=3$

Work done by C = $\dfrac{12}{6}=2$

So,Their ratio of efficiency would be

$4:3:2$

Total amount they all would receive = Rs. 360

So, A would get $\dfrac{4}{9}\times 360=4\times 40=160$

B would get $\dfrac{3}{9}\times 360=120$

C would get $\dfrac{2}{9}\times 360=80$

Hence, Amount each would receive are Rs. 160, Rs. 120 and Rs. 80 resp.

# learn more:

Acan do a work in 6 hours while B and C alone can do the same work in thrice and twice the time respectively in how many hours can they finish the work working together

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