Natasha drove from Bedingfield to Portsmouth at an average speed of 100km/h. On her way back, she drove 75km/h. Her trip involved a total of 3.5hrs of driving time. What is the distance between Bedingfield and Portsmouth?

I just need the equation to set this up.

Question

Natasha drove from Bedingfield to Portsmouth at an average speed of 100km/h. On her way back, she drove 75km/h. Her trip involved a total of 3.5hrs of driving time. What is the distance between Bedingfield and Portsmouth?

I just need the equation to set this up.

anonymous · Answer

speed x time =distance

anonymous · Answer

yeah but 3.5 hours is a combination of the time on the way over and back, and there are two different speeds

anonymous · Answer

time going is 
$$\frac{D}{100}$$ time returning is 
$$\frac{D}{75}$$ the total time is 3.5 so put 
$$\frac{D}{100}+\frac{D}{75}=3.5$$ solve for D

anonymous · Answer

that is the equation set up.  you can solve this yes?

anonymous · Answer

yeah just let me work it out really quick. the answer should be 150

anonymous · Answer

ok.  work it out and i bet that is what you get

anonymous · Answer

its obviously 150 i just can't ever think of how to set it up

anonymous · Answer

yep! thanks

anonymous · Answer

sure is i just checked!
yw