A task was assigned to P, Q and R to be completed by not more than seven days. P alone can complete the task in ten days. Q alone can complete the task in twelve days and R alone can complete the task in fifteen days. All three of them worked for two days and P and Q together worked for another two days. What portion of the task will remain after four days? a) 3/10 b) 1/15 c) 1/9 d) 5/16 e) None of these

1 Answer

Answer :

1day's work of (P + Q+ R)

= 1/10 + 1/12 +1/15 = 15/60

2 day's work of (P + Q+ R)

= 15/60 × 2 = 1/2

1 day's work of (P+Q) = 1/10 +1/12 = 11/60

2 day's work of (P+Q) = 11/60 × 2 = 11/30

Rem. work of 4 days = 1- 1/2 + 11/30 = 2/15

Answer: e)

Related questions

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