Algebra I Lesson 3.4 Honors

Arianna and Addison are going fishing. Addison takes her kayak and travels West at a speed of 6 mph. Arianna takes her kayak and travels East. After 5 hours, they are 47.5 miles apart.

How fast was Arianna going in her Kayak? Enter only a number in the blank. Do not enter units.

Cash and Connor are racing dirtbikes. Cash starts 5 seconds ahead of Connor and travels at 6m/s. Connor travels at 6.5m/s.

How many seconds has Connor been riding by the time he catches Cash? Enter only a number in the blank. Do not enter units.

Evie and Archer are copiloting a helicopter. They take off from Las Vegas and travel to Los Angeles. It takes them 8 hours. On the way back to Vegas, they are traveling 11.25mph faster than they were on the way to Los Angeles, and the trip only takes them 6 hours.

How fast was the helicopter going on the way back to Vegas? Enter only a number in the blank. Do not enter units.

Logan and Sawyer are walking home from school. Logan lives West of the school and walks 25 meters/min faster than Sawyer (Sawyer has a heavy backpack). Sawyer lives East of the school. After 20 minutes the two students are 4300 meters apart.

How fast was Sawyer walking? Enter only a number in the blank. Do not enter units.

Audrey and Alli are captains of different cruise ships. Audrey's cruise ship leaves San Diego at 12pm and travels South at a speed of 5mph. Alli's ship leaves at 4pm the same day and travels at a speed of 7.6mph.

How many hours will Audrey's cruise ship have traveled for before it is caught by Alli's? Round to the nearest tenth of an hour.

Enter only a number in the blank. Do not enter units.

Carson and Emma are driving to vacation destinations. Carson is going North to Montana and driving at a speed 10mph faster than Emma who is going South to Mexico. After 6.5 hours the two are 689 miles apart.

How fast was Emma traveling? Enter only a number in the blank. Do not enter units.

Challenge Question!

Lana and Alice are in a three legged race against Brenner and Deacon. Sophie is keeping time. Brenner and Deacon are given an 18 meter head start. They are able to run at 4m/s. According to Sophie's watch, Lana and Alice are able to catch the pair after 9 seconds.

How fast were Lana and Alice running? Enter only a number in the blank. Do not enter units.