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Erik's disabled sailboat is floating at a stationary location 3 miles east and 3 miles north of Kingston. A ferry leaves Kingston heading due east toward Edmonds at 15 mph. At the same time, Erik leaves the sailboat in a dinghy heading due south at 10 ft/sec (hoping to intercept the ferry). Edmonds is 6 miles due east of Kingston.

Required:
Compute Erik's speed in mph and the ferry's speed in ft/sec.

Respuesta :

Answer:

(a)6.82mph

(b)22 ft/sec

Step-by-step explanation:

Eric's Speed = 10 ft/sec

The Ferry's Speed = 15 miles per hour

Conversion Unit

  • 1 mile = 5280 feet
  • 1 hour = 3600 seconds

Guide

  • When converting from a smaller unit to a larger unit we divide
  • When converting from a larger unit to a smaller unit we multiply

(a)To convert Eric's Speed 10 ft/sec to miles per hour

[tex]\dfrac{10 \:ft}{seconds} =\dfrac{10 \div 5280 \:miles}{1 \div 3600\: hour} \\=6.82 miles \:per\: hour[/tex]

(b)To convert the Ferry's Speed 15 mph to ft/sec

[tex]\dfrac{15 \:miles}{hour} =\dfrac{15 X 5280 \:foot}{1 X 3600\:seconds} \\=22 foot \:per\: seconds[/tex]

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