Question

Theo drove 240 miles in 4 hours. Lex drove 183 miles in 3 hours. At those rates, could either man drive 118 miles in 2 hours? Complete the explanation. Show your work pls

Answer 1

Answer: Theo's speed is 240 miles / 4 hours = <<240/4=60>>60 mph.

Lex's speed is 183 miles / 3 hours = <<183/3=61>>61 mph.

To determine whether Theo can drive 118 miles in 2 hours, we can calculate the time it would take him to travel 118 miles at his speed of 60 mph: 118 miles / 60 mph = <<118/60=1.97>>1.97 hours.

Since 1.97 hours is less than 2 hours, Theo could drive 118 miles in 2 hours.

To determine whether Lex can drive 118 miles in 2 hours, we can calculate the time it would take him to travel 118 miles at his speed of 61 mph: 118 miles / 61 mph = <<118/61=1.93>>1.93 hours.

Since 1.93 hours is less than 2 hours, Lex could also drive 118 miles in 2 hours.

Therefore, both Theo and Lex could drive 118 miles in 2 hours.

Answer 2

Yes, both men could drive at the rate of 112 miles in 2 hours. This is because you need to find the unit rate. For Theo's unit rate it is 57 miles per hour while Lex could drive at 62 miles per hour. Finally, the last statement ask if they could drive at a unit rate of 56 miles per hour and yes both men can.

Explanation: