# 2. Write and solve an equation to calculate Ximena’s average speed with no wind. Show your work.?

Ximena bikes 20 miles from her home to her favorite lunch spot and then bikes back. She bikes

with the wind to lunch and against the wind on the way home. Her total travel time on the bike is 3.5 hours. When biking with no wind her average speed is 14 miles per hour.

1. Write and solve an equation to calculate the average speed of the wind. Show your work.

3.5x+20

The next week Ximena bikes 28 miles to a different location to eat. She then bikes back to her home. She bikes against the wind to lunch and with the wind on the way home. Ximena’s total travel time on the bike is 5 hours and 15 minutes, and the average speed of the wind is 10 miles per hour.

2. Write and solve an equation to calculate Ximena’s average speed with no wind. Show your work.

### 1 Answer

- hayharbrLv 71 month ago
Time = distance ÷ speed

w = speed of wind

Time going: 20/(14 + w)

Time returning: 20 / (14 - w)

Total time = 3.5 = 20/(14 + w) + 20 / (14 - w)

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