Question

It takes Zachary’s mother 25 minutes to ride her bike to the market. The market is 1 3/4 miles away. If she rides the same speed to the park that is 10 1/2 miles away, how long will the ride take?

Answer 1

option-D

Explanation:

Case-1:

It takes Zachary’s mother 25 minutes to ride her bike to the market

and that market is
`1(3)/(4) =1.75miles` away

so, distance =d=1.75 miles

time =t= 25 minutes

so, firstly we can find speed

`v=(d)/(t)`

`v=(1.75)/(25)`

`v=0.07miles/min`

Case-2:

Since, speed is same

so,

`v=0.07miles/min`

Distance is

`=10(1)/(2)=10.5miles`

so,

`d=10.5miles`

now, we can find time

`t=(d)/(v)`

we can plug values

`t=(10.5)/(0.07)`

`t=150min`

She will take 150 minutes

Answer 2

option D is correct

time will the ride take = 150 minutes

Explanation:

Using formula:

`\text{Speed} = \frac{\text{Distance}}{\text{Time}}` .....[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 =
`1(3)/(4) = (7)/(4)` miles.

Then, substitute these value in [1] , we have;

`\text{Speed} = ((7)/(4))/(25) =(7)/(4 * 25) = (7)/(100)` miles per minutes.

It is also given that , if she rides with the same speed to the park that is
`10(1)/(2)= (21)/(2) \text{miles}` away.

To find how long will the ride take.

Using the same formula to find the time;

Let the time be t.

we have;

`(7)/(100) =((21)/(2))/(t)`

By cross multiply, we have;

`7t = (21)/(2) * 100`

Simplify:

`7t = 1050`

Divide by 7 both sides we get;

t = 150 minutes.

Therefore, 150 minutes will the ride take.