Question

A, B and C can do a job working alone in 50, 75 and 20 days respectively. They all work together for 4 days, then C quits. How many days will A and B take to finish the rest of the job?

A 20 Correct Answer Incorrect Answer
B 30 Correct Answer Incorrect Answer
C 18 Correct Answer Incorrect Answer
D 24 Correct Answer Incorrect Answer

Solution

LCM of 50,75 an 20 is 300 units Each day A can do 300/50 =6 units   Each day B can do 300/75 =4 units Each day A can do 300/20 =15 units In each day 6+4+15=25 units for 4 days they do 4*25=100 units Each day A and B an together do 10 units Therefore 200/10 =20 days

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