Question

A person leaves home at 8:00 a.m. and drives to a destination at a rate of 40 mph. The person returns at a rate of 25 mph and arrives at 2:30 p.m. How far was the destination?

65 miles
100 miles
130 miles

Answer 1

Hi,
A person leaves home a 8:00 am and drives to a destination at a rate of 40 miles per hour.
The person returns at a rate of 25 miles per hour and arrives at 2:30 pm.
Total time 6.5 hr (Assuming no stopping time)
D/r = t
D/40mph + D/25mph = 6.5
65D = 6.5(40*25)
D = 6.5(40*25)/65
D = 100mi

Answer 2

Answer:

100 miles

Step-by-step explanation:

The time of the destination's distance = 6.5 hours

D/R = T

[D/40 + D/25] = 6.5  

[take the first rate and add it with the second rate using the formula to get time]

LCD = 200

200[D/40] + 200 [D/25] = 6.5 *200

5D + 8D = 1,300

13D/13 = 1,300/13

D = 100 miles

I hope this helped!