moe ran 3/4 a mile in 15 minutes.if he runs at the same constant rate of speed how long will it take him to run one mile

Answer 1

( 3 / 4 mile ) / 15 min = 1 mile / x min

You can write that like:

( 3 / 4 ) / 15 = 1 / x

3 / ( 4 * 15 ) = 1 / x

3 / 60 = 1 / x

3 / 3 * 20 = 1 / x

1 / 20 = 1 / x

Cros multiply

x * 1 = 20 * 1

x = 20 min

OR

15 min = 1 / 4 h

Speed = Distance / time

Speed = ( 3 / 4 ) / ( 1 / 4 ) = 3 mile / h

1 mile = ( 1 / 3 ) of 3 mile

Time for one mile = ( 1 / 3 ) of 1 h = 60 min / 3 = 20 min

Answer 2

r = 0.75mi./15min = 0.05 mi/min.
d = r * t.
1 = 0.05 * t,
t = ?