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Irina-Kira [14]
3 years ago
12

Brianna left the bookstore traveling 32 mph. Then 3.2 hours later, Sonya left traveling the same direction at 44.8 mph. How long

until Sonya catches up with Brianna
Mathematics
1 answer:
Lostsunrise [7]3 years ago
3 0

Answer:

8 hours

Step-by-step explanation:

Let t hours be the time needed Sonya to catch up Brianna.

Sonya:

Time = t hours

Rate = 44.8 mph

Distance =D_S miles

Brianna

Time =t+3.2 hours

Rate = 32 mph

Distance =D_B miles

Note that D_S=D_B, because Sonya must catch up Brianna.

Use formula D=r\cdot t

Hence,

44.8t=32(t+3.2)

Solve this equation:

44.8t=32t+32\cdot 3.2\\ \\44.8t-32t=102.4\\ \\12.8t=102.4\\ \\t=8

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