Question

A car is traveling at a steady speed it travels 2 1/2 miles in 3 1/3 minutes how far will it travel in 35 minutes in one hour

Answer 1

`$\displaystyle {(105)/(4)} \text{ or } 26.25 \text{ miles}`

Explanation:

The steady speed of the car is given by the formula

• Speed = Distance Travelled/Time for travel

• Distance traveled = 2 1/2 = 5/2 miles

• Time taken = 3 1/3 = 10/3 minutes

• Speed = 5/2 ÷ 10/3

• Dividing by a fraction is the same as multiplying by the reciprocal of the divisor fraction.

• Here 10/3 is the divisor so reciprocal is 3/10
• 5/2 ÷ 10/3 = 5/2 x 3/10 = 15/20 = 3/4 miles per minute (note units)
• At a speed of 3/4 miles per minute if the car travels for 35 minutes, the distance covered
  = 3/4 x 35
  
  
  `=(105)/(4)`

So distance traveled in 35 minutes is
`$\displaystyle {(105)/(4)}$` = 26.25 miles