shwanhassan974
Answered

Welcome to Westonci.ca, where your questions are met with accurate answers from a community of experts and enthusiasts. Discover in-depth answers to your questions from a wide network of experts on our user-friendly Q&A platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

Jerry and Milton set out for a ride in the hill country at 30 mph. Their car broke down and they caught a ride back home in a truck at 20 mph. If they were gone for 10 hours, how far from home did the breakdown occur?

Sagot :

oladayoademosu

Their car broke down 120 miles from home.

  • Let d be Jerry and Milton's distance from home where their car broke down.
  • Let t be the time it takes to travel to d with a speed of 30 mph.
  • Let t' be the time it takes to travel back home at 20 mph.

Finding the required equations

Since both distances to and fro are the same, we have that

30t = d (1) and 20t' = d (2)

30t = 20t'   (3)

Also, since they wer gone for 10 hours, we have that t + t' = 10 (4)

So, t' = 10 - t

Solving for t

Substituting t' into (3), we have

30t = 20(10 - t)

30t = 200 - 20t

30t + 20t = 200

50t = 200

t = 200/50

t = 4 hours.

Solving for d

Substituting t into (1), we have

d = 30t

= 30 × 4

= 120 miles

So, their car broke down 120 miles from home.

Learn more about distance from home here:

https://brainly.com/question/24744891

Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.