X can lay railway track between two station in 16; Y can do the same work in 20 days,both are working together for 2 days after Y left the job then how many days X requires to complete the remaining work ? Total number of days taken to complete the whole work?
Answers:
A) 7 Days and 9 days
B) 5.89 Days and 7.89 days
C) 8.26 Days and 10.26 days
D) 7.75 Days and 9.75 days
E) 9 Days and 11 days
First take LCM of (16,20) = 160; Total work = 160; X's one day work = 160/16= 
<gadget id="calculator">160/16</gadget>
<output>10</output>
10; Y's one day work=160/20= 
<gadget id="calculator">160/20</gadget>
<output>8</output>
8; One day work of both X+Y= 10+8= 
<gadget id="calculator">10+8</gadget>
<output>18</output>
18; Total work completed in 2 days= 18*2= 
<gadget id="calculator">18*2</gadget>
<output>36</output>
36; remaining work is= 160 - 36= 
<gadget id="calculator">160 - 36</gadget>
<output>124</output>
124; remaining work completed by X in= 124/16= 
<gadget id="calculator">124/16</gadget>
<output>31/4 = around 7.75</output>
7.75 days.Total number of days taken to complete the whole work= 2+7.75= 
<gadget id="calculator">2+7.75</gadget>
<output>9.75</output>
9.75 days.   Answer=7.75 Days and 9.75 days
<result>D</result>
X can lay railway track between two station in 16; Y can do the same work in 20 days,both are working together for 2 days after Y left the job then how many days X requires to complete the remaining work ? Total number of days taken to complete the whole work?