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

Answer:

Distance he covers in $\frac{3}{4}$ of an hour = $7\frac{1}{20}$ miles.

Step-by-step explanation:

Phillip rode his bicycle at $9\frac{2}{5}$ miles per hour.

To find distance he covers in $\frac{3}{4}$ of an hour.

Solution:

Speed at which Phillip rides = $9\frac{2}{5}$ miles per hour

Time for which he cycles = $\frac{3}{4}$ of an hour

Distance covered in miles $=Speed\times Time = 9\frac{2}{5} \times \frac{3}{4}$

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

$[A\frac{b}{c}=\frac{Ac+b}{c}]$

$9\frac{2}{5} \times \frac{3}{4}$

⇒ $\frac{(9\times 5)+2}{5} \times \frac{3}{4}$

⇒ $\frac{47}{5} \times \frac{3}{4}$

Then we simply multiply the numerators and denominators.

⇒$\frac{141}{20}$

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)

⇒ $7\frac{1}{20}$ miles.

∴ Distance he covers in $\frac{3}{4}$ of an hour = $7\frac{1}{20}$ miles.