Question

at noon you'll leave Bakersfield on a vacation headed to Las Vegas at 60 miles per hour .one hour later, your grandparents leave Las Vegas back home to Bakersfield. they are traveling 75 miles per hour though.the two cities are 288 miles apart. at what time will you meet your grandparents

Answer 1

me speed = 60 mi/h

grandparents speed = 75 mi/

distance = 288

Formula

speed = distance/ time

me distance x grandparents distance = 288 - x

distance traveled in 1 hour 75 =( 288 - x) / t

t = (288 - x) / 75

distance = 60 x 1 = 60

x = 60 + 60t

x - 60 = 60t

t = (x - 60)/60

(x - 60)/60 = (288 - x) / 75

75(x - 60) = 60(288 - x)

75x - 4500 = 17280 - 60x

75x + 60x = 17280 + 4500

135x = 21780

x = 21780/135

x = 161.3 mi

Time

t = (161-3 - 60)/60

t = 101.33/60

t = 1.7 h

1 h -------------------- 60 min

1.7 h ------------------ x

x = (1.7 x 60)

x = 101.3 min

total time = 1 h and 41 min

They will meet at 1:41 am