Question

Theo drove 228 miles in 4 hours. Lex drove 186 miles in 3 hours. At those rates, could either man drive 112 miles in 2 hours? show your work

Answer 1

Theo drove at a rate of 57 miles/hour and Lex drove at a rate of 62 miles/hour. Both can drive more than 112 miles in 2 hours.

Step-by-step explanation:

To determine if Theo or Lex can drive 112 miles in 2 hours, we need to calculate their respective rates.

Theo drove 228 miles in 4 hours, so his rate can be found by dividing the distance by the time: 228 miles / 4 hours = 57 miles/hour.

Lex drove 186 miles in 3 hours, so his rate can be found by dividing the distance by the time: 186 miles / 3 hours = 62 miles/hour.

To find out if either man can drive 112 miles in 2 hours, we compare their rates to the given distance and time:

For Theo: 57 miles/hour * 2 hours = 114 miles

For Lex: 62 miles/hour * 2 hours = 124 miles

Since both Theo and Lex can drive more than 112 miles in 2 hours, the answer is yes.

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.