jonah participates in a 6 mile fun run race for charity. during the race, he runs part of the way and walks the rest. he runs 5 miles per hour and walks 3 miles per hour. it takes him 1.5 hours to compleste the race. if he walks x hours, write an equation that could be used to calculate how many miles he walks
+129838 Rate x Time = Distance
If he walks x hrs., then he runs 1.5 - x hours
Then
3mph *(x) hrs. + 5m[h * (1.5 - x) hts = 6 miles .....just for the heck of it, let's solve this
3x + 7.5 - 5x = 6
-2x + 7.5 = 6 subtract 7.5 from each side
-2x = -1.5 divide by -2 on each side
x = -1.5 / -2 = 3/4
So he walks 3/4 of an hour. And he runs for the same time. And the distance he walks is
3mph * (3/4 hr) = 9/4 mi. = 2.25 miles.
And the distance he runs is
5mph * (3/4) = 15/4 = 3.75 miles
And 2.25 mi and 3.75 mi = 6 mi.
+129838 Rate x Time = Distance
If he walks x hrs., then he runs 1.5 - x hours
Then
3mph *(x) hrs. + 5m[h * (1.5 - x) hts = 6 miles .....just for the heck of it, let's solve this
3x + 7.5 - 5x = 6
-2x + 7.5 = 6 subtract 7.5 from each side
-2x = -1.5 divide by -2 on each side
x = -1.5 / -2 = 3/4
So he walks 3/4 of an hour. And he runs for the same time. And the distance he walks is
3mph * (3/4 hr) = 9/4 mi. = 2.25 miles.
And the distance he runs is
5mph * (3/4) = 15/4 = 3.75 miles
And 2.25 mi and 3.75 mi = 6 mi.
