Question
A can do a piece of work in x days and B can do the same work in x+16 days. If both working together can do it in 15 days, find the value of x.
Answer: Option C
:
C
Given: A can do a piece of work in x days and B in x+16 days.
Work done by A in one day = 1x
Work done by Bin one day = 1x+16
Work done by A and B together in one day = 115
⇒ 1x + 1x+16 = 115
⇒ 2x+16x(x+16)=115
⇒ x2+16x=15(2x+16)
⇒ x2−14x−240=0
⇒ x2−24x+10x−240=0
⇒ x(x−24)+10(x−24)=0
⇒ (x−24)(x+10)=0
⇒ x=24orx=−10
⇒ x=24 as x cannot be negative.
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:
C
Given: A can do a piece of work in x days and B in x+16 days.
Work done by A in one day = 1x
Work done by Bin one day = 1x+16
Work done by A and B together in one day = 115
⇒ 1x + 1x+16 = 115
⇒ 2x+16x(x+16)=115
⇒ x2+16x=15(2x+16)
⇒ x2−14x−240=0
⇒ x2−24x+10x−240=0
⇒ x(x−24)+10(x−24)=0
⇒ (x−24)(x+10)=0
⇒ x=24orx=−10
⇒ x=24 as x cannot be negative.
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