An ocean liner going from country a to country b stops for a few days in country. You are on board and wish to estimate the time it will take you to get to country b. it is 3700 km from country a to country c and 6200 km from country c to country b. It took 5.1 days to reach country c from country a. What is the average velocity of the ocean liner in km/hr? how long will it take to reach country b from country c?
The average velocity is v = d/t. It took 5.1 days to travel 3700km from a to c. v=?
How long does it take to travel 6200km from b to c at that velocity?
v = d/t, so t = d/v. t=?
v= d/t
3700km + 6200km/122.4 hrs = 80.88 km/hr
t=d/v
6200km/80.88km/hr = 76.66 hrs
To find the average velocity of the ocean liner in km/hr, we'll first need to convert the time taken to reach country C from country A into hours.
Given:
Distance from country A to country C = 3700 km
Time taken to reach country C from country A = 5.1 days
1 day = 24 hours, so converting the time into hours:
Time taken = 5.1 days x 24 hours/day = 122.4 hours
Now, to find the average velocity, we divide the total distance traveled by the time taken.
Total distance traveled = Distance from country A to country B = Distance from country A to country C + Distance from country C to country B = 3700 km + 6200 km = 9900 km
Average velocity = Total distance / Time taken
Average velocity = 9900 km / 122.4 hours ≈ 80.84 km/hr
Therefore, the average velocity of the ocean liner is approximately 80.84 km/hr.
To estimate the time it will take to reach country B from country C, we'll need to calculate the time based on the distance and the average velocity.
Given:
Distance from country C to country B = 6200 km
Average velocity of the ocean liner = 80.84 km/hr
Time taken = Distance / Velocity
Time taken = 6200 km / 80.84 km/hr ≈ 76.6 hours
Therefore, it will take approximately 76.6 hours to reach country B from country C.