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Question
Worker P is 50 % as efficient as worker Q. Worker R does half of the work done by P and Q together . If R alone does the work in 40 days , then P, Q, and R together can do the work in -
20
1
3
d
a
y
s
25 days
15 days
13
1
3
d
a
y
s
ANSWER : 4
Descrption
<p style="margin-left:0px;">Let total work be w.<br>Let the speed of B be x work/day.<br> </p><p style="margin-left:0px;">Since, A is 50% as efficient as B.</p><p style="margin-left:0px;">∴ the speed of A is x/2 work/day.</p><p style="margin-left:0px;"><br>Let the speed of C be z work/day.</p><p style="margin-left:0px;"><br>Since, C does half of the work done by A and B together.<br>∴z=1/2×(x/2+x)......(1)<br>Also, C alone does the work in 40 day.<br>∴w/z=40.............(2)</p><p style="margin-left:0px;"><br>∴ A,B and C together can do the work in w/(x/2+x+z) days.<br>From (1) and (2), we have<br>w/(x/2+x+z) = 40z/3z= 13.33</p>
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