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alexira [117]
2 years ago
12

The 34% solution!

Mathematics
1 answer:
Vitek1552 [10]2 years ago
3 0

Using the relation between velocity, distance and time, it is found that he traveled 281.25 km by bus and 1618.75 km by plane.

<h3>What is the relation between velocity, distance and time?</h3>

Velocity is distance divided by time, that is:

v = \frac{d}{t}

In this problem, first he traveled a distance of d km by bus, with an average speed of 60 km/h and a time of t, hence:

60 = \frac{d}{t}

d = 60t

Then, by plane, he traveled a distance of 1900 - d km, with an average speed of 700 km/h and a time of 7 - t, hence:

700 = \frac{1900 - d}{7 - t}

Since d = 60t, we have that:

700 = \frac{1900 - 60t}{7 - t}

1900 - 60t = 4900 - 700t

640t = 3000

t = \frac{3000}{640}

t = 4.6875

Hence:

d = 60t = 60 x 4.6875 = 281.25 km

1900 - d = 1900 - 281.25 = 1618.75 km

He traveled 281.25 km by bus and 1618.75 km by plane.

More can be learned about the relation between velocity, distance and time at brainly.com/question/24316569

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