Answer:
option D is correct
time will the ride take = 150 minutes
Step-by-step explanation:
Using formula:
[tex]\text{Speed} = \frac{\text{Distance}}{\text{Time}}[/tex] .....[1]
As per the given condition:
Zachary's mother take time to rider her bike to the market = 25 minutes.
and the distance of the market away = [tex]1\frac{3}{4} = \frac{7}{4}[/tex] miles.
Then, substitute these value in [1] , we have;
[tex]\text{Speed} = \frac{\frac{7}{4}}{25} =\frac{7}{4 \times 25} = \frac{7}{100}[/tex] miles per minutes.
It is also given that , if she rides with the same speed to the park that is [tex]10\frac{1}{2}= \frac{21}{2} \text{miles}[/tex] away.
To find how long will the ride take.
Using the same formula to find the time;
Let the time be t.
we have;
[tex]\frac{7}{100} =\frac{\frac{21}{2}}{t}[/tex]
By cross multiply, we have;
[tex]7t = \frac{21}{2} \times 100[/tex]
Simplify:
[tex]7t = 1050[/tex]
Divide by 7 both sides we get;
t = 150 minutes.
Therefore, 150 minutes will the ride take.
