Question

Please help!! 50 points!!!!

Jim walks 3 miles per hour slower than his friend Steve runs. Steve runs 4 miles per hour slower than his friend Matt rides his bike. Jim walks 25 miles in the same time Matt rides his bike 60 miles. Steve runs 16 miles in the same time Matt rides his bike 24 miles.

Part A: Write an equation to calculate Jim's speed.

Part B: Write an equation to calculate Steve's speed.

Part C: Write two equations that can be used to calculate Matt's speed.

Answer 1

Jim=S-3

Steve=M-4

U figure out the last part. I helped

Explanation:

Answer 2

See below ~

Explanation:

• Let Jim, Steve, and Matt have speeds of j, s, and m respectively
• From the problem :

1. j = s - 3 [Jim]
2. s = m - 4 [Steve]

• Jim takes same time to walk 25 miles at it takes Matt to ride 60 miles
• j = 25/t₁ and m = 60/t₁
• Steve runs 16 miles in the same time Matt rides his bike 24 miles
• s = 16/t₂ and m = 24/t₂

Equating Matt's Speed in both cases

• 60/t₁ = 24/t₂
• t₁/t₂ = 5/2 = 2.5
• t₁ = 2.5t₂

Now, taking Equation 1 :

• j = s - 3
• 25/t₁ = 16/t₂ - 3
• 25/(2.5t₂) = 16/t₂ - 3
• 10/t₂ = 16/t₂ - 3
• 6/t₂ = 3
• t₂ = 2 s
• t₁ = 2.5(2) = 5 seconds
• Eq.1) m = 60/5 [Matt]

Now, taking Equation 2 :

• s = m - 4
• 16/t₂ = 24/t₂ - 4
• 8/t₂ = 4
• t₂ = 2 seconds
• Eq.2) m = 24/2 [Matt]