College of Admission Tests Multan

Work and Rate Problems

Solve the question of and select the option from the choices A through D/E. Check your Answer and view the explanation.

Question: 6

A can do a piece of work in 4 hours . A and C together can do it in just 2 hours, while B and C together need 3 hours to finish the same work. In how many hours B can complete the work ?
  • 10 hours
  • 12 hours
  • 16 hours
  • 18 hours

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Correct Answer: B

None

Work done by A in 1 hour = 1/4

Work done by B and C in 1 hour = 1/3

Work done by A and C in 1 hour = 1/2

Work done by A,B and C in 1 hour = (1/4)+(1/3) = 7/12

Work done by B in 1 hour = (7/12)–(1/2) = 1/12

B alone can complete the work in 12 hour