Checking Speed and Velocity Problems

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SUMMARY

This discussion focuses on solving speed and velocity problems involving various scenarios. The problems include calculating travel time for a boat cruising at 32 km/h over 25 kilometers, determining the distance a person runs at 8.0 mi/h for 140 minutes, estimating how long it takes a man adrift to travel 400 miles at a current speed of 51 miles in 3 days, and predicting the distance a cyclist will cover in 8.0 hours at an average speed of 57 km in 3.0 hours. The participant's initial answers were mostly correct, but rounding errors were noted in the calculations for problems 2 and 3.

PREREQUISITES
  • Understanding of basic speed, distance, and time formulas
  • Familiarity with unit conversions (e.g., km/h to miles per hour)
  • Ability to perform calculations involving time and distance
  • Knowledge of rounding rules in mathematical calculations
NEXT STEPS
  • Review the formula T = x/v for speed, distance, and time calculations
  • Practice unit conversions between kilometers and miles
  • Learn about significant figures and rounding rules in mathematics
  • Explore additional speed and distance problems for further practice
USEFUL FOR

Students studying physics or mathematics, educators teaching speed and distance concepts, and anyone looking to improve their problem-solving skills in real-world scenarios involving speed and velocity.

Medgirl314
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Homework Statement


I have four separate problems.

1.A certain boat cruises at 32 km/h. How long does it take the boat to travel 25 kilometers?

2. A person runs at a speed of 8.0 mi/h for 140 minutes. How far does the person travel?

3. A man is at sea on a raft, adrift on the ocean current. The current carries him 51 miles in 3 days. At this speed, how long would it take him to travel 400 miles?

4. A man competing in a bicycle race travels 57 km in 3.0 hours. If he maintains this average speed, how far will he go in 8.0 hours?

Homework Equations


T=x/v


The Attempt at a Solution



I have answered all of them, but would like to check them one more time before I turn them in. Here are my answers:

1. 47 minutes.
2. 18 miles.
3. 23 days.
4. 152 km.
 
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Medgirl314 said:

Homework Statement


I have four separate problems.

1.A certain boat cruises at 32 km/h. How long does it take the boat to travel 25 kilometers?

2. A person runs at a speed of 8.0 mi/h for 140 minutes. How far does the person travel?

3. A man is at sea on a raft, adrift on the ocean current. The current carries him 51 miles in 3 days. At this speed, how long would it take him to travel 400 miles?

4. A man competing in a bicycle race travels 57 km in 3.0 hours. If he maintains this average speed, how far will he go in 8.0 hours?

Homework Equations


T=x/v


The Attempt at a Solution



I have answered all of them, but would like to check them one more time before I turn them in. Here are my answers:

1. 47 minutes.
2. 18 miles.
3. 23 days.
4. 152 km.

You appear to be rounding down too soon in 2 and 3. Other than that, your calculations are correct.

AM
 
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Thank you! So your suggestion is that I should go back to where I divided and round up?
 

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