Juan jogs each day from his house to a local park, and then he jogs back along the same route. On his way to the park, he averages 4 miles per hour. On his way home, he averages 6 miles per hour. If the total trip takes 1 and 1 half hours, which equation can be used to find x , the distance in miles from Juan’s house to the park? Distance (mi) Rate (mi/hr) Time (hr) Trip to Park x 4 mph Trip to Home x 6 mph
Answer
A
x over 4 plus x over 6 is equal to 1 and 1 half
B
4 x plus 6 x is equal to 1
C
4 x plus 6 x is equal to 1 and 1 half
D
x over 4 plus x over 6 is equal to 1
Explanation
Use time = distance ÷ rate. The trip to the park takes x/4 hours, and the trip home takes x/6 hours because Juan travels the same distance each way. Together, those times equal the total trip time of 1½ hours, so the equation is x/4 + x/6 = 1½. This is choice C.
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