Bobby can read 10 pages and complete 15 word problems in 30 minutes. How long will it take him to do his homework if he has 30 pages to read and 45 word problems? Refer to the time in minutes.
If Bobby can read 10 pages and complete 15 word problems in 30 minutes, then he can read 1 page in 30/10 = <<30/10=3>>3 minutes.
Also, he can complete 1 word problem in 30/15= <<30/15=2>>2 minutes.
If Bobby has 30 pages to read, he will take 30*3 = <<30*3=90>>90 minutes to read them all.
Similarly, if he has 45 word problems, he will take 45*2 = <<45*2=90>>90 minutes to complete them all.
Therefore, it will take Bobby 90+90 = <<90+90=180>>180 minutes to complete his homework. Answer: \boxed{180}.
To determine how long it will take Bobby to complete his homework, we can first find the rate at which he completes reading pages and word problems.
Bobby can read 10 pages and complete 15 word problems in 30 minutes. This means his rate of reading is 10 pages / 30 minutes = 1/3 pages per minute. Similarly, his rate of solving word problems is 15 word problems / 30 minutes = 1/2 word problems per minute.
Now, we can calculate the time needed to read 30 pages. Since Bobby reads at a rate of 1/3 pages per minute, the time needed to read 30 pages would be 30 pages / (1/3 pages per minute) = 90 minutes.
Next, let's calculate the time needed to complete 45 word problems. Since Bobby completes word problems at a rate of 1/2 word problems per minute, the time needed to complete 45 word problems would be 45 word problems / (1/2 word problems per minute) = 90 minutes.
Finally, to find the total time needed for Bobby to do his homework, we can add the time needed for reading and word problems: 90 minutes (for reading) + 90 minutes (for word problems) = 180 minutes.
Therefore, it will take Bobby 180 minutes to complete his homework.
To solve this problem, we need to calculate the time it takes Bobby to complete one page of reading and one word problem.
Let's first find the time it takes Bobby to complete one page of reading:
10 pages can be read in 30 minutes
So, 1 page can be read in 30 minutes / 10 pages = 3 minutes per page
Next, let's find the time it takes Bobby to complete one word problem:
15 word problems can be completed in 30 minutes
So, 1 word problem can be completed in 30 minutes / 15 word problems = 2 minutes per word problem
Now that we have the time it takes for Bobby to complete one page of reading and one word problem, we can calculate the total time it will take him to do his homework.
To read 30 pages, it will take Bobby 30 pages * 3 minutes per page = 90 minutes.
To complete 45 word problems, it will take Bobby 45 word problems * 2 minutes per word problem = 90 minutes.
Therefore, it will take Bobby 90 minutes + 90 minutes = 180 minutes to do his homework.