Question

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?

Answer 1

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

Explanation:

In `1/4` hour, Kyle jogged `2 1/2=5/2` miles

hence in `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.