Matthew read 3/8 of a chapter of his history book in 1/5 of an hour. At this rate how many chapters of his history book can he read in 1 1/2 hours

Question

Matthew read 3/8 of a chapter of his history book in 1/5 of an hour. At this rate how many chapters of his history book can he read in 1 1/2 hours

Answer 1

x/(1 1/2)= (3/8)/(1/5) = 15/8 = x/(3/2) = 2x/3

2x/3 = 15/8

cross multiply

16x = 45

divide both sides by 16

x = 45/16

= 2 13/16 chapters in 1 and 1/2 hours at the same rate as 3/8 chapter in 1/5 hour

3/8 in 1/5 means 15/8 in 1 hour

and 7.5/8 in half an hour

15/8 + 7.5/8 = 22.5/8 = 45/16 in 1 1/2 hours