Question

A children's rollercoaster ride travels along 3300 feet of track at an average rate 15 miles per hour. How many seconds does the ride take to travel this length of the track

Answer 1

The time taken to travel length of track is 150 second

Solution:

Given that children's rollercoaster ride travels along 3300 feet of track at an average rate 15 miles per hour

Distance = 3300 feet

Speed = 15 miles per hour

To find: Time taken to travel this length of the track in seconds

The relation between speed and distance is given as:

`speed = (distance)/(time)`

`time = (distance)/(speed)` ----- eqn 1

Let us first convert miles per hour to feet per second

To convert miles to feet multiply by 5,280

1 mile = 5280 feet

To convert hours to seconds, multiply by 3,600

1 hour = 3600 seconds

Converting 15 miles per hour to feet per second

`15 (miles)/(hour) = 15((5280)/(3600)) = 22 (feet)/(second)`

Substituting the values in eqn 1, we get

`time = (3300 feet)/(22 (feet)/(second))`

time = 150 second

Thus the time taken to travel length of track is 150 second