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1 vote
You swim 3.6 kilometers per hour. How long (in minutes) will it take you to swim the distance $d$ across the pond?

User Jayrythium
by
7.4k points

2 Answers

3 votes

Answer: It will take you 1 minute

Step-by-step explanation:

Saying that triangles ABC and CDE are similar triangles.

Therefore, their sides are in the same ratio:

AB:DE = BC:CE

105:d = 140:80

140*d = 105*80

d = 60m

speed at which you swim = 3.6km/hr

speed at which you swim 60m or (60/1000)km = (60/1000)/3.6 hr = 1/60 hr = 1 minute

User Claude COULOMBE
by
8.9k points
4 votes

Final answer:

To find the time it will take to swim distance d across the pond, use the formula: Time = Distance / Speed.

Step-by-step explanation:

To find the time it will take to swim distance d across the pond, we need to use the formula:

Time = Distance / Speed

Given that the speed is 3.6 kilometers per hour, we convert it to minutes by multiplying by 60:

Speed = 3.6 km/h * 60 min/h = 216 km/min

Now we can substitute the values into the formula:

Time = d / 216

So it will take d/ 216 minutes to swim across the pond.

User Gigimon
by
7.8k points
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