Translating Sentences into equations- yesterday, jim went on a bike ride. his average speed was 8 miles per hour. Today he went on another ride, this time average 12 miles per hour. In two days he biked for a combined total of 9 hours.
Let x be the number of hours he biked yesterday. Write an expression for the combined total number of miles he biked in the two days.

Question

Translating Sentences into equations- yesterday, jim went on a bike ride. his average speed was 8 miles per hour. Today he went on another ride, this time average 12 miles per hour. In two days he biked for a combined total of 9 hours.
Let x be the number of hours he biked yesterday. Write an expression for the combined total number of miles he biked in the two days.

anonymous · Answer

yesterday he biked x hours
since the total is 9 today he biked 9 - x hours

since distance = rate times time, if he biked x hours yesterday he went $8x$ miles and if he biked $9 - x $ miles today at a rate of 12mph he biked $12(9-x)$

anonymous · Answer

add them up and you get $8x+12(9-x)$

anonymous · Answer

Beautiful.