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Harman [31]
3 years ago
8

You skate at a rate of 12 feet per second. Your friend skates at a rate of 10 feet per seconds and has a head start of 20 feet.

A. How long will it take you to catch Your friend
Mathematics
1 answer:
sesenic [268]3 years ago
3 0

Answer:

Correct answer:  t = 10 seconds

Step-by-step explanation:

Given:

V₁ = 12 ft/s , V₂ = 10 ft/s  initial distance d = 20 ft

To the moment  he catches his friend the first skater will have crossed the distance d₁ and the second d₂.

d₁ = d + d₂

d₁ = V₁ · t

d₂ = V₂ · t

when we substitute this into the initial formula we get:

V₁ · t = d + V₂ · t ⇒ d = V₁ · t - V₂ · t  ⇒ d = t (V₁ - V₂) ⇒ t = d / (V₁ - V₂)

t = d / (V₁ - V₂) = 20 / (12 - 10) = 20 / 2 = 10 seconds

t = 10 seconds

God is with you!!!

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Answer:the repair shop is 5km from her house.

Step-by-step explanation:

Let x represent the distance of the repair shop from her house.

Let y represent Emily's speed when riding.

Distance = speed × time

It took Emily 25 min to ride her bike to the repair shop. Converting 25 min to hours, it becomes 25/60 = 5/12 hours.

Distance covered,

x = y × 5/12 = 5y/12

It took her 1h 15 min to walk back home. Converting to hours, it becomes 1 + 15/60 = 1 1/4 = 5/4

If she can ride her bike 8km/h faster than she can walk, it means that her speed while walking would be y 8 8

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5y × 4 = 12(5y - 40)

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Step-by-step explanation:

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Step-by-step explanation:

The best way to solve this is by crossing out the data you don't need so you're left looking at the key pieces to put the equation together. If his dad paid him $45.76 for 6.4 hours, then all you need to do is divide 45.76 by 6.4. (Hint: Use a calculator, it makes it ten times faster than trying to write it out!)

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