In 1/4 hour, Kyle jogged 2 1/2 mi. Dee jogged 1 3/4 mi in 10 minutes Who ran at a faster rate? What is that rate?

Question

1659 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-11-23T05:37:38

Doe ran at a faster rate of $10.5$ $10.5$ miles per hour.

In $\frac{1}{4}$ $1/4$ hour, Kyle jogged $2 \frac{1}{2} = \frac{5}{2}$ $2 1/2=5/2$ miles

hence in $1$ $1$ hour, he can jog $5/2xx4=5/(cancel2^1)xxcancel4^2=10$ miles

Hence, Kyle jogged at a rate of $10$ miles per hour.

Dee jogged $1 3/4=7/4$ miles in $10$ minutes

As one hour has $60$ minutes, in $1$ hour, he can jog $7/4xx6=7/(cancel4^2)xxcancel6^3=21/2=10.5$ miles.

Hence, Doe jogged at a rate of $10.5$ miles per hour.

Hence Doe ran at a faster rate of $10.5$ miles per hour.