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Holly took a 1900 km trip, traveling by bus and plane. The bus averaged 60 km/h, and the plane averaged 700 km/h. If the total trip took 5 hours, how many kilometers did she travel by bus?

a) Holly traveled 300 km by bus.
b) Holly traveled 400 km by bus.
c) Holly traveled 700 km by bus.
d) Holly traveled 1000 km by bus.

User VBMali
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1 Answer

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Final answer:

By setting up an equation using the formula time = distance / speed and summing the time spent traveling by bus and plane to equal the total trip time of 5 hours, we determine that Holly traveled 300 km by bus. Therefore correct option is A

Step-by-step explanation:

To determine how many kilometers Holly traveled by bus, we can let x be the distance traveled by bus, and since the total trip was 1900 km, the distance traveled by plane would be 1900 - x km.

Given the speeds, we can calculate the time spent on each part of the trip by using the formula

time = distance / speed.

The time spent on the bus is x / 60 hours and the time on the plane is (1900 - x) / 700 hours.

Since the total trip took 5 hours, we set up the equation:

x/60 + (1900 - x)/700 = 5

Solving for x gives us that Holly traveled 300 km by bus.

Therefore, the answer to the question is option (a) Holly traveled 300 km by bus.

User Cordelia
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