Question

mike is taking a his social studies test . mike was only able to finish 1/6 of the test in 1/2 hour. how long will it take him to finish the test?

Answer 1

1/2*6 = 3. It will take him 3 hours to finish his test if he continues on the same rate

Answer 2

`1-(1)/(6)=(5)/(6)\\\\\begin{array}{ccc}(1)/(6)\ of\ the\ test&-&(1)/(2)\ h\\\\(5)/(6)\ of\ the\ test&-&x\ h\end{array}\ \ \ \ |cross\ multiply\\\\\\(1)/(6)x=(1)/(2)\cdot(5)/(6)\\\\(1)/(6)x=(5)/(12)\ \ \ \ \ |multiply\ both\ sides\ by\ 6\\\\\boxed{x=(5)/(2)=2.5\ (h)}\leftarrow time\ he\ will\ have\ to\ do\ the\ test\\\\\\total\ test\ time:2.5\ h+0.5\ h=3\ h`