Question

Philip rode his bicycle 9 2/5 miles per hour. if he rode for 3/4 of and hour, how many miles did he cover

Answer 1

Distance he covers in
`(3)/(4)` of an hour =
`7(1)/(20)` miles.

Explanation:

Phillip rode his bicycle at
`9(2)/(5)` miles per hour.

To find distance he covers in
`(3)/(4)` of an hour.

Solution:

Speed at which Phillip rides =
`9(2)/(5)` miles per hour

Time for which he cycles =
`(3)/(4)` of an hour

Distance covered in miles
`=Speed* Time = 9(2)/(5) * (3)/(4)`

To multiply mixed numbers we need to convert them to fractions.

`[A(b)/(c)=(Ac+b)/(c)]`

`9(2)/(5) * (3)/(4)`

⇒
`((9* 5)+2)/(5) * (3)/(4)`

⇒
`(47)/(5) * (3)/(4)`

Then we simply multiply the numerators and denominators.

⇒
`(141)/(20)`

Then we convert back to mixed fraction by dividing numerator by denominator and writing the quotient as whole number with fraction (remainder as numerator and denominator being the divisor)

⇒
`7(1)/(20)` miles.

∴ Distance he covers in
`(3)/(4)` of an hour =
`7(1)/(20)` miles.