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#### MachineCode

##### New member

- Feb 2, 2020

- 4

Problem:

Sisters Helen and Anne live 332 miles apart. For Thanksgiving, they met at their other sister’s house partway between

their homes. Helen drove 3.2 hours and Anne drove 2.8 hours. Helen’s average speed was four miles per hour faster than

Anne’s. Find Helen’s average speed and Anne’s average speed.

**Book Answer: Helen = 60mph, Anne = 56 mph**

My work:

// This is the equation I derived

2.8r + 3.2(r+4) = 332

// Solve

= 2.8r + 3.2r + 12.8 = 332

= (2.8r + 3.2r) + 12.8 = 332

= 6.r + 12.8 = 332

= 6r = (332-12.8)

= (6r/6r) = (319.2/6r)

r = 53.2

Helen = 53.2 + 4

**My Answer:**

Helen: 57.2 mph, Anne: 53.2mph

Helen: 57.2 mph, Anne: 53.2mph

Check:

57.2 x 3.2 = 183.04

53.2 x 2.8 = 148.96

183.04 + 148.96 =

**332**