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PtichkaEL [24]
3 years ago
7

A map distance of 5 inches represents 200 miles of actual distance. Suppose the distance between two cities on the map is 7 inch

es. What is the actual distance between the two cities? Write the rule you used to find the actual distance.
Mathematics
1 answer:
puteri [66]3 years ago
6 0
The actual distance is 280. To find the answer you find the unit rate which is 1/40 (1 inch for 40 miles) then multiply the given number (7) by the unit rate (40).
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Wendy took a trip from city A to city B, a distance of 220 mi. She traveled part of the way by bus, which arrived at the train s
Sphinxa [80]

Answer:

1.72 hours on the train.

Step-by-step explanation:

The distance between the two cities is 220 miles. Therefore the sum of the bus and train distances is 220 miles. Let x be the distance by train and y the distance by bus: x + y = 220

Bus speed was 30 mph and train speed was 85 mph. The whole trip was 5 1/2 hours, that is 5.5 hours.

We have to, the bus distance would be equal to:

y = 260 - x

speed equals distance over time, like so:

v = d / t; if we rearrange for time

t = d / v, we can do another equality, since we know that the total time is 5.5 hours

5.5 = x / 85 + (260 - x) / 30; reorganizing we have left that:

(30 * x + 85 * 260 - 85x) / 85 * 30 = 5.5

Solving:

-55 * = 2550 * 5.5 - 22100

x = 146.81

146.81 miles would be the train distance.

To find the time, we divide by the speed of the train which is 85 mph:

146.81 / 85 = 1.72 h

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