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Novay_Z [31]
3 years ago
7

10. Eddie and his sister walked from home to school. His sister started walking at 8.00 am at an average speed of 50 m/min. Eddi

e started walking at 8.05 am at a speed of 60 m/min. Eddie caught up with his sister at mid-point between the school and his home. Find the distance between Eddie's home and the school.
Mathematics
1 answer:
rewona [7]3 years ago
5 0

Answer:

The distance between Eddie's home and the school is 3000 m

Step-by-step explanation:

Consider the provided information.

His sister started walking at 8.00 am at an average speed of 50 m/min. Eddie started walking at 8.05 am at a speed of 60 m/min. Eddie caught up with his sister at mid-point between the school and his home.

Let the distance between school and home is x.

Let t is the time taken by Eddie sister to reach at mid-point between school and home.

Eddie caught up with his sister at mid-point between the school and his home.

That means his sister covers x/2 distance.

Time=\frac{Distance}{Speed}

Speed of Eddie sister is 50 m/min.

t=\frac{\frac{x}{2}}{50} .....(1)

Eddie started walking at 8.05 am at a speed of 60 m/min.

t-5=\frac{\frac{x}{2}}{60}

t=\frac{\frac{x}{2}}{60}+5 .....(1)

Equate both the equation as shown:

\frac{\frac{x}{2}}{50}=\frac{\frac{x}{2}}{60}+5

\frac{x}{100}=\frac{x}{120}+5

\frac{x}{100}-\frac{x}{120}=5

\frac{12x-10x}{1200}=5

2x=6000

x=3000

Hence, the distance between Eddie's home and the school is 3000 m

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