Question

Matthew can jog 3 and ⅖ miles in ⅞ of an hour. Find his average speed in miles per hour.

Answer 1

3
`(31)/(35)` mph ≈ 3.8857 mph

Explanation:

Speed = distance/time

1) Plug the numbers in.

Speed = 3 ⅖ / ⅞

2) Convert the numbers to decimals.

Speed = 3.4 / 0.875

3) Solve.

Speed ≈ 3.8857 mph =
`(136)/(35)` mph = 3
`(31)/(35)` mph

ANOTHER WAY TO SOLVE

Speed = distance/time

1) Plug the numbers in.

Speed = 3 ⅖ / ⅞

2) Convert into improper fractions

Speed =
`(17)/(5)` /
`(7)/(8)`

3) Multiply by the reciprocal

Speed =
`(17)/(5)` ×
`(8)/(7)` =
`(136)/(35)` mph = 3
`(31)/(35)` mph