Answer:
Time taken by Rahm to write the essay and finish the science project = 12.5 hours
Step-by-step explanation:
[tex]\text{Time spent by Rahm on writing the essay = }2\tfrac{1}{2}=\frac{5}{2}\:\:hours\\\\\text{Now, Rahm took 4 times as long to finish the science project}\\\\\implies\text{Time took by Rahm to finish the science project = }4\times \frac{5}{2}=10\:\:hours[/tex]
Now, we need to find the total time spent by Rahm to finish the both writing the essay and the science project.
[tex]\text{Therefore, Total time taken by Rahm = }\frac{5}{2}+10=\frac{25}{2}\:\:hours[/tex]
Hence, Time taken by Rahm to write the essay and finish the science project = 12.5 hours
