SOLUTION: Car A and car B enter an expressway at the same time and place and head the same direction. Car A travels at 76 miles per hour. After 3 hours, car B is 42 miles behind car A. What

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Car A and car B enter an expressway at the same time and place and head the same direction. Car A travels at 76 miles per hour. After 3 hours, car B is 42 miles behind car A. What       Log On

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Question 1110674: Car A and car B enter an expressway at the same time and place and head the same direction. Car A travels at 76 miles per hour. After 3 hours, car B is 42 miles behind car A. What is the speed of var B?
After dieting and excersing for several months, Sam now weighs 20% less than he did originally. If Sam now weighs 180 pounds, how much did he weigh originally?

Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
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1) Car A and car B enter an expressway at the same time and place and head the same direction. Car A travels at 76 miles per hour.
After 3 hours, car B is 42 miles behind car A. What is the speed of var B?
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In 3 hours, car A traveled the distance of  3*76 = 228 miles.


At this time, car B was 42 miles behind car B. Hence, it traveled 228 - 42 = 186 miles in 3 hours.


Then the average speed of the car B  is  186%2F3 = 62 mph.

Solved.

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2) After dieting and excersing for several months, Sam now weighs 20% less than he did originally.
If Sam now weighs 180 pounds, how much did he weigh originally?

Let x be the Sam's original weight (which is under the question).


Then the problem says that  (1-0.2)*x = 180 pounds,   or   0.8x = 180,


which implies  x = 180%2F0.8 = 225 pounds.


It is your answer.