Problema Solution
you leave your house and walk for half an hour at a speed of 3 miles per hour. then you run for 15 minutes at a speed of 7 miles per hour. you are now halfway to town. write and solve an equation to find the distance from your house to town. Please be very specific
Answer provided by our tutors
Let
d = the distance from your house to town
v1 = 3 mph the walking speed
t1 = 0.5 h the walking time
v2 = 7 mph the running speed
t2 = 15 min = 15/60 h = 0.25 h the running time
Since distance = speed*time we have:
v1t1 + v2t2 = d/2
Plug the know values into the above equation:
3*0.5 + 7*0.25 = d/2
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click here to see the equation solved for d
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d = 6.5 mi
The distance from the house to the town is 6.5 miles.