a can do a piece of work in 15 days. a does the work for 5 days only and leaves the job. b does the remaining work in 16 days. in how many days b alone can do the work? Choose the most appropriate option:
A) 5 days
B) 7 days
C) 12 days
D) 24 days
E) 10 days
<gadget id="calculator">1 / 16</gadget>
<output>1/16 = around 0.0625</output>

<gadget id="calculator">1 / 15</gadget>
<output>1/15 = around 0.066667</output>

<gadget id="calculator">5 * (1/15)</gadget>
<output>1/3 = around 0.333333</output>

<gadget id="calculator">1 - (1/3)</gadget>
<output>2/3 = around 0.666667</output>

<gadget id="calculator">(1/16) * (2/3)</gadget>
<output>1/24 = around 0.041667</output>

<gadget id="calculator">1 / (1/24)</gadget>
<output>24</output>

<result>D</result>
a can do a piece of work in 15 days. a does the work for 5 days only and leaves the job. b does the remaining work in 16 days. in how many days b alone can do the work?
inverse(multiply(inverse(16), subtract(const_1, multiply(5, inverse(15)))))
"explanation : a ’ s 5 day work = 5 * 1 / 15 = 1 / 3 remaining work = 1 - 1 / 3 = 2 / 3 b completes 2 / 3 work in 6 days b alone can do in x days 2 / 3 * x = 16 x = 24 days answer : option d"