Question

Martha lives 2 miles from the store. She walks at a rate of 6 miles per hour. How long must she walk, in minutes, to get from home to the store? 8. Two cars leave the same point simultaneously, going in the same direction along a straight, flat road, one at 35mph and one at 50mph. After how many minutes will the cars be 11.25 miles apart?

Answer 1

Answer: Therefore, the cars will be 11.25 miles apart after 45 minutes.

Step-by-step explanation: To calculate the time Martha must walk to get from home to the store:

Distance = 2 miles

Rate = 6 miles per hour

Time = Distance / Rate

Time = 2 miles / 6 miles per hour

Time = 1/3 hour

To convert hours to minutes, multiply by 60:

Time = (1/3) * 60 minutes

Time = 20 minutes

Therefore, Martha must walk for 20 minutes to get from home to the store.

To calculate the time it takes for the two cars to be 11.25 miles apart:

Speed of the first car = 35 mph

Speed of the second car = 50 mph

Relative speed = Speed of the second car - Speed of the first car

Relative speed = 50 mph - 35 mph

Relative speed = 15 mph

To calculate the time:

Time = Distance / Relative speed

Time = 11.25 miles / 15 mph

Time = 0.75 hours

To convert hours to minutes, multiply by 60:

Time = (0.75) * 60 minutes

Time = 45 minutes

Therefore, the cars will be 11.25 miles apart after 45 minutes.