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nekit [7.7K]
3 years ago
11

Starting at home, Ishaan traveled uphill to the gift store for 18 minutes at just 10 mph. He then traveled back home along the s

ame path downhill at a speed of 30 mph. What is his average speed for the entire trip from home to the gift store and back?
Mathematics
1 answer:
snow_lady [41]3 years ago
7 0
The distance to the store is
.. (0.3 h)*(10 mi/h) = 3 mi

The time home is
.. (3 mi)/(30 mi/h) = 0.1 h

The average speed is the total distance divided by the total time
.. speed = (3 mi +3 mi)/(0.3 h +0.1 h) = (6 mi)/(0.4 h) = 15 mi/h

Ishaan's average speed was 15 mi/h.
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Step-by-step explanation:

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The explicit formula for an arithmetic sequence is:

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a_1 is the first term of the sequence.

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So

a_n = 3 +0.25 (n-1)

Finally, the recursive formula is:

a_1 = 3\\\\a_n = a_ {(n-1)} +0.25

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