Two towns are 1300 miles apart. A group of hikers starts from each town and walks down the trail toward each other. They meet af
ter a total hiking time of 240 hours. If one group travels 2 1/2 miles per hour slower than the other group, find the rate of each group.
1 answer:
240(v+2.5)=1300-240v
240v+600=1300-240v
480v=1900
v=95/24
v-2.5=v-5/2
95/24-60/24=35/24
So the faster group travels at 95/24 mph (≈3.96 mph) and the slower group travels at 35/24 mph (≈1.46mph)
check...
240(95/24)=950 miles from the origin...
1300-240(35/24)=950 miles from the origin...
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