Question 1012291
samuel can read 36 pages in 50 minutes.


since rate * time = quantity of work produced, the formula for samuel becomes:


rate * 50 = 36


solve for rate to get rate = 36/50.


that's samuel's rate.


samuel's rate is 1.5 times benjamin's rate.


this means that 36/50 = 1.5 * benjamin's rate.


solve for benjamin's rate to get benjamin's rate = (36/50) / 1.5.


simplify to get benjamin's rate is equal to 24/50 pages per minute.


we'll use the formula of rate * time = quantity to figure out how long it will take benjamin to read 120 pages.


quantity = 120 pages
rate = 24/50 pages per minute


rate * time = quantity becomes 24/50 * time = 120.


solve for time to get time = 120 / (24/50) which makes time = 250 minutes.


it will take benjamin 250 minutes to read 120 pages.