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irina1246 [14]
2 years ago
7

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
2 answers:
amm18122 years ago
7 0

Answer: \text{The average speed  for the entire trip from home to the gift store and back}=15\text{ mph}


Step-by-step explanation:

Time taken to travel from uphill to the gift store =18 minutes

∴ t_1=18\ minutes=\frac{18}{60}\ hour=0.3\ hour

Speed of Ishaan from uphill to the gift store =10 mph

We know that \text{Distance}=\text{Speed}\times\text{time}

\\\Rightarrow\d_1=10\times0.3=3\ \text{miles}

We he traveled back, the distance remains same

Thus d_2=d_1=3\text{ miles}

We know that

\text{time}=\frac{\text{Distance}}{\text{speed}}\\\Rightarrow\ t_2=\frac{3}{30}=0.1\text{ hour}

\text{The average speed}=\frac{\text{total distance}}{\text{total time}}\\=\frac{3+3}{0.3+0.1}\\\\=\frac{6}{0.4}\\\\=\frac{60}{4}=15\\\\\Rightarrow\text{The average speed}=15\text{ mph}

\text{The average speed  for the entire trip from home to the gift store and back}=15\text{ mph}


maxonik [38]2 years ago
3 0
The answer would be 15 miles per hour.
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