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ICE Princess25 [194]
3 years ago
10

A father and a son are preparing for a jog on the beach. They both leave from the same lifeguard station and begin running in op

posite
directions. The son runs at a speed of 8.1 mph, and the father at 6.3 mph.
How many hours will have elapsed when the father and his son are 20.16 miles apart?​
Mathematics
1 answer:
Step2247 [10]3 years ago
3 0

Answer:

1.4 hours have elapsed when the father and his son are 20.16 miles apart

Step-by-step explanation:

The son runs at a speed of 8.1 mph.

The father runs at a speed of 6.3 mph.

They run in opposite directions, so per hour, their distance increases at the rate of 8.1 + 6.3 = 14.4 mph.

How many hours will have elapsed when the father and his son are 20.16 miles apart?​

Rule of 3.

1 h - 14.4 miles

x h - 20.16 miles

14.4x = 20.16

x = \frac{20.16}{14.4}

x = 1.4

1.4 hours have elapsed when the father and his son are 20.16 miles apart

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Add 3/4 to both sides:

Answer:  x = 3/4 + (3 sqrt(5))/4 or x = 3/4 - (3 sqrt(5))/4

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