How far is it from Mallory’s house to Morgan’s house?

Question

Mallory drove at a speed of 62 miles per hour from her house to her sister Morgan’s house. The two of them then drove at a speed of 70 miles per hour to Santa Barbara to visit their friend Tracy. Mallory spent a total of 8 hours in the car (from her house to Morgan’s house to Tracy’s house). The total distance Mallory traveled (from her house to Morgan’s house to Tracy’s house) was exactly 532 miles. How far is it from Mallory’s house to Morgan’s house?

Answer 1

Tim,

 

t1 = time it took....from her house to her sister Morgan’s house

t2 = time it took....o Santa Barbara to visit their friend Tracy

x1 = distance between......from her house to her sister Morgan’s house

x2 = distance between......o Santa Barbara to visit their friend Tracy

v1 = 62mph

v2 = 70mph

t1 + t2 = 8

v1t1 + v2t2 = 532, total distance

62t1 + 70t2 = 532

62t1 + 70(8 - t1) = 532

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