Question

A car is traveling at a steady speed. It travels 1(1/2) miles in 2(1/4) minutes. How far will it travel in 26 minutes? In 1 hour?

Answer 1

17
`(1)/(3)`miles

40miles

Explanation:

Given parameters;

Distance traveled by the car = 1
`(1)/(2)`miles =
`(3)/(2)`miles

Time taken = 2
`(1)/(4)`minutes =
`(9)/(4)`minutes

Unknown:

Distance covered in 26minutes and in 1hr = ?

Solution:

Speed is the rate of change of distance with time.

Speed =
`(distance)/(time taken)`

A. Insert the parameters and find the speed;

Speed =
`((3)/(2) )/((9)/(4) )` =
`(3)/(2)` x
`(4)/(9)` =
`(2)/(3)`miles/minutes

Distance covered in 26minutes;

Distance = speed x time

Distance =
`(2)/(3)` x 26 =
`(52)/(3)` miles = 17
`(1)/(3)`miles

B. Distance covered in 1hr or 60minutes;

Distance =
`(2)/(3)` x 60 = 40miles