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B is thrice as efficient as A and C is 0.75 times as efficient as A. What is the ratio of number of days taken by A, B and C when they work…

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B is thrice as efficient as A and C is 0.75 times as efficient as A. What is the ratio of number of days taken by A, B and C when they work individually?
  • A4 : 1 : 3
  • B3 : 1 : 4
  • C2 : 3 : 1
  • D5 : 1 : 2
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0
CCommunity
Let the efficiency of A be 100

Given that B is thrice as efficient as A

⇒ Efficiency of B = 300

Also given that C is 0.75 times as efficient as A

⇒ Efficiency of C = 75

From the given data,we need to find the ratio of number of days A, B and C when they work individually

∴ LCM of the 100, 300 and 75 is 300

∴ Ratio of number of days when their work individually = 300/100 : 300/300 : 300 /75

= 3 : 1 : 4
0
CCommunity
Let the efficiency of A be 100

Given that B is thrice as efficient as A

⇒ Efficiency of B = 300

Also given that C is 0.75 times as efficient as A

⇒ Efficiency of C = 75

From the given data,we need to find the ratio of number of days A, B and C when they work individually

∴ LCM of the 100, 300 and 75 is 300

∴ Ratio of number of days when their work individually = 300/100 : 300/300 : 300 /75

= 3 : 1 : 4