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A takes three times as long as B and C t...

A takes three times as long as B and C together to do a job. B takes four times as long as A and C together to do the work. If all the three, working together can complete the job in 24 days, then the number of days, A alone will take to finish the job is

A

100

B

96

C

95

D

90

Text Solution

Verified by Experts

The correct Answer is:
B
माना कि B तथा C कार्य को पूरा करने के लिए x दिन लेते हैं।
`therefore` A द्वारा लिया गया समय = `3x `दिन
प्रश्नानुसार
`1/x + 1/(3x) = 1/24`
`implies 4/(3x) = 1/24`
`implies x = 32` अतः A को कार्य पूरा करने में `3 xx 32 = 96 `दिन लगेंगे।
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