two consultants can type up a report in 12.5 hours and edit it in 7.5 hours. if mary needs 30 hours to type the report and jim needs 12 hours to edit it alone, how many t hours will it take if jim types the report and mary edits it immediately after he is done?	Choose the correct answer:
A) 41.4 B) 34.1 C) 13.4 D) 12.4 E) 10.8
<gadget id="calculator">1 / 12.5</gadget>
<output>0.08</output>

<gadget id="calculator">1 / 30</gadget>
<output>1/30 = around 0.033333</output>

<gadget id="calculator">0.08 - (1/30)</gadget>
<output>0.046667</output>

<gadget id="calculator">1 / 0.046667</gadget>
<output>21.428418</output>

<gadget id="calculator">1 / 7.5</gadget>
<output>0.133333</output>

<gadget id="calculator">1 / 12</gadget>
<output>1/12 = around 0.083333</output>

<gadget id="calculator">0.133333 - (1/12)</gadget>
<output>0.05</output>

<gadget id="calculator">1 / 0.05</gadget>
<output>20</output>

<gadget id="calculator">21.428418 + 20</gadget>
<output>41.428418</output>

<result>A</result>
two consultants can type up a report in 12.5 hours and edit it in 7.5 hours. if mary needs 30 hours to type the report and jim needs 12 hours to edit it alone, how many t hours will it take if jim types the report and mary edits it immediately after he is done?
add(inverse(subtract(divide(const_1, 12.5), divide(const_1, 30))), inverse(subtract(divide(const_1, 7.5), divide(const_1, 12))))
"break down the problem into two pieces : typing and editing . mary needs 30 hours to type the report - - > mary ' s typing rate = 1 / 30 ( rate reciprocal of time ) ( point 1 in theory below ) ; mary and jim can type up a report in 12.5 and - - > 1 / 30 + 1 / x = 1 / 12.5 = 2 / 25 ( where x is the time needed for jim to type the report alone ) ( point 23 in theory below ) - - > x = 150 / 7 ; jim needs 12 hours to edit the report - - > jim ' s editing rate = 1 / 12 ; mary and jim can edit a report in 7.5 and - - > 1 / y + 1 / 12 = 1 / 7.5 = 2 / 15 ( where y is the time needed for mary to edit the report alone ) - - > y = 20 ; how many t hours will it take if jim types the report and mary edits it immediately after he is done - - > x + y = 150 / 7 + 20 = ~ 41.4 answer : a ."