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Veronika [31]
3 years ago
12

You went to Disney World by car. The trip there took 6 hours. On the way home, people were evacuating for a possible hurricane s

o your speed decreased by 20 m/hr and it took 10 hours to get home. How fast was the car going on the way there? How fast was it going on the way back home?
Mathematics
1 answer:
slavikrds [6]3 years ago
3 0

Answer:

a) on the way there, the speed = 50 m/hr

b) on the way back home, speed = 30 m/hr

Step-by-step explanation:

speed (s) = \frac{distance(d)}{time(t)} \\distance = speed\ \times\ time

on the way to Disney land:

distance = d

speed = s

time = t = 6 hours

d = s × t

d = s × 6

d = 6s - - - - - (1)

On the way back:

speed decreased by 20m/hr

This means that s₂ = (s - 20)m/hr

time = t₂ = 10 hours

∴ d = s₂ × t₂

d = (s - 20) × 10

d = 10s - 200  - - - - (2)

<em>Note that the distance is the same to and from disney land, therefore, equation (1) equals equation (2)</em>

∴ 6s = 10s - 200

<em>collecting like terms:</em>

10s - 6s = 200

4s = 200

∴ s = 200 ÷ 4

s = 50 m/hr

Therefore on the way there, the car was moving at a apeed of 50m/hr

speed on the way back home (s₂) = (s - 20) m/hr

∴ s₂ = 50 - 20

s₂ = 30 m/hr

Therefore on the way back home the speed was 30 m/hr

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