SOLUTION: two families meet at a park for a picnic. At the end of the day one family travels east at an average speed of 42 mph and the other travels west at an average speed of 50 mph. both

Algebra.Com
Question 132514: two families meet at a park for a picnic. At the end of the day one family travels east at an average speed of 42 mph and the other travels west at an average speed of 50 mph. both families have approximately 160 miles to travel.
a)find the time it takes each family to get home
b)find the time that will have elapsed when they are 100 miles appart
c)find the distance the eastbound family has to travel after the westbound family has arrived home.

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
At the end of the day one family travels east at an average speed of 42 mph and the other travels west at an average speed of 50 mph. both families have approximately 160 miles to travel.
---------------------
a)find the time it takes each family to get home
--------
East bound DATA:
Rate = 42 mph : distance = 160 miles ; time = 160/42 = 3.81 hrs.
----------------
West bound DATA:
Rate = 50 mph ; distance = 160 miles ; time = 160/50 = 3.2 hrs.
----------------
b)find the time that will have elapsed when they are 100 miles apart
(42+50)x = 100
x = 100/92
x = 1.087 hrs.
---------------------
c)find the distance the eastbound family has to travel after the westbound family has arrived home.
3.81-3.2 = 0.61 hr.
0.61 hr * 42 mph = 25.62 miles
===============================
Cheers,
Stan H.

RELATED QUESTIONS

Two families meet at a park for a picnic. At the end of the day, one family travels east... (answered by ankor@dixie-net.com)
Two families are traveling by car to a camp 280km away. One family leaves 20 minutes... (answered by ankor@dixie-net.com)
Portland and Seattle are about 180 miles apart. The da Vinci family leaves Seattle at the (answered by josgarithmetic)
Two families drive from Kingston to Niagara Falls. The Maretti family leaves first and... (answered by stanbon,aaaaaaaa)
A car travels at 60 mph east for 20 min then at 30 mph west for 30 minutes. What is the... (answered by solver91311)
Two families are traveling by car to a camp 280 kilometers away. One family leaves 20... (answered by ikleyn)
"Two families are traveling by car to a camp 280 kilometers away. One family leaves 20... (answered by stanbon)
two families who lived 63 miles apart met at a park between their homes for a picnic. how (answered by rothauserc,josmiceli)
A car travels at 60 mph east for 20 min then at 30 mph east for 30 minutes. What is the... (answered by Fombitz)