Marty rode 40 miles in 3 hours. At this rate, how long will it take Marty to ride 100 miles?

Question

Ratio box

Answer 1

x/100 = 3/40

x/10 = 3/4

x/5 = 3/2

x = 15/2 = 7.5 hours to go 100 miles

Answer 2

Marty rode 40 miles in 3 hours. At this rate, how long will it take Marty to ride 100 miles?

First of all review the problem and pick out all the important facts pertaining to the question.

Task: Solving for the time it will take Marty to ride one hundred miles (100 miles)

Present Facts: Marty rode 40 miles in 3 hours.

Helpful Information: Required formulas needed to solve the word problem.

Time = Distance divided by Speed

Speed = Distance divided by Time

How to solve this question:

First find Marty's speed, then use that speed to calculate the time it takes to ride 100 miles.

Step 1

Calculate Marty's speed.

Speed is distance divided by time.

Speed = Distance /Time

Speed = 40 miles / 3 hours

Speed = 40/3 mph

Step 2

Calculate the time to ride 100 miles.

Time is distance divided by speed.

Time = Distance / Speed

Time = 100 miles / (40/3 mph) flip Time

Time = (100 miles x 3) divided by 40

Time = 300/40 hours

Time = 7.5 hours

Word Problem Solution:

It will take Marty 7.5 hours to ride 100 miles.

I hope this information is useful. Please let me know if you require any more assistance. If anyone in my neighborhood is interested in setting up an in-person math tutoring session. I look forward to hearing from them. Have an amazing day. Doris H.