Math, asked by parks8749, 9 months ago

Starting at home, Michael traveled uphill to the gift store for 242424 minutes at just 101010 mph. He then traveled back home along the same path downhill at a speed of 303030 mph.
What is his average speed for the entire trip from home to the gift store and back?

Answers

Answered by Swarup1998
4

Let the distance of the gift store from home is x mile.

Step 1. Finding the value of x

  • Michael took 24 minutes to travel uphill at a speed of 10 mph.
  • Then distance travelled = 24 * 10 miles = 240 miles
  • Therefore, x = 240 miles.

Step 2. Finding time to travel downhill

  • Downhill path = 240 miles
  • Speed = 30 mph
  • Then time taken = 240 / 30 = 8 minutes

Step 3. Finding average speed

  • Total path travelled = 2 * 240 miles = 480 miles
  • Total time taken = 24 + 8 minutes = 32 minutes
  • Therefore average speed = total path / total time = 480 / 32 mph = 15 mph

Michael's average speed for the entire trip from home to the gift store and back is 15 mph.

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