Question

Hanley and Maxwell are jogging on a track. Haley jogs 3/4 mile in 1/6 hour. Maxwell jogs 2/3 mile in 2/15 hour. Who is faster? How much faster? Show your work?

Answer 1

To be able to compare the speeds of Hanley and Maxwell you have to convert the values in the same units, in this case, miles per hour.

You can unse cross multiplication for this.

Hanley

1/6hour____3/4mile

1hour_____xmiles

`x=(1\cdot(3)/(4))/((1)/(6))=(3)/(4)\cdot6=(9)/(2)`

Hanley runs 4.5miles/hour

Maxwell

2/15hour____2/3miles

1 hour_____xmiles

`x=(1\cdot(2)/(3))/((2)/(15))=(2)/(3)\cdot(15)/(2)=\text{ 5}`

Maxwell runs 5 miles/hour

Maxwel runs faster than Hanley.