Answered

At Westonci.ca, we connect you with the answers you need, thanks to our active and informed community. Ask your questions and receive accurate answers from professionals with extensive experience in various fields on our platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

Work out the speed in miles per hour at which colin drives home

Work Out The Speed In Miles Per Hour At Which Colin Drives Home class=

Sagot :

Answer:

  20 miles per hour

Step-by-step explanation:

The graph shows it takes Colin 45 minutes (3/4 hour) to drive home. For a given distance (the distance from home to market), the speed is inversely proportional to the time.

The time driving home is (3/4 hour)/(2/4 hour) = 3/2 times the time driving to the market. The inverse of this is 2/3, so Colin's speed driving home is ...

  (2/3)(30 mph) = 20 mph

The speed at which Colin drives home is 20 miles per hour.

_____

Alternate solution

The distance to the market is ...

  distance = speed × time

  distance = (30 mi/h)(1/2 h) = 15 mi

The speed going home is ...

  speed = distance/time

  speed = (15 mi)/(3/4 h) = (15)(4/3) mi/h = 20 mi/h