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: 7

A completes 80% of a work in 20 days. Then B also joins and A and B together finish the remaining work in 3 days. How long does it need for B if he alone completes the work?
  • op a Dup 1 -39092020
  • op b Dup 1 -30639324
  • op c Dup 1 -65138720
  • op d Dup 1 -68112200

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Correct Answer: C

None

Work done by A in 20 days = 80/100 = 8/10 = 4/5

Work done by A in 1 day = (4/5) / 20 = 4/100 = 1/25 --- (1)

Work done by A and B in 3 days = 20/100 = 1/5 (Because remaining 20% is done in 3 days by A and B)

Work done by A and B in 1 day = 1/15 ---(2)

Work done by B in 1 day = 1/15 – 1/25 = 2/75

B can complete the work in 75/2 days = 37 (1/2) days