Question

Daisy is going 12 mph and Sally is going 8 mph if they where 60 miles apart how many hours would it take for them to meet up

Answer 1

3 hours

Explanation:

we know that

The speed is equal to divide the distance by the time

Let

s ----> the speed in mph

d -----> the distance in miles

t ----> the time in hours

x ----> distance traveled by Daisy to the meeting point

60-x ----> distance traveled by Sally to the meeting point

so

`s=(d)/(t)`

Solve for d

`d=st`

Distance traveled by Daisy to the meeting point

`d=st`

we have

`d=x\ mi\\s=12\ mph`

substitute

`x=12t` ----> equation A

Distance traveled by Sally to the meeting point

`d=st`

we have

`d=(60-x)\ mi\\s=8\ mph`

substitute

`60-x=8t` ----> equation B

substitute equation A in equation B

`60-12t=8t`

solve for t

`12t+8t=60\\20t=60\\t=3\ hours`