Rob and David live 200 miles apart. Deciding to have a picnic, they both start driving at 9:00 a.m., traveling in a straight line towards each other. Rob drives at a steady speed of 50 miles per hour, and David drives at a steady speed of 30 miles per hour. What is the time when they meet for their picnic?
A. 11:30 a.m.
B. 1:00 p.m.
C. 1:30 p.m.
D. 2:00 p.m.
E. 3:40 p.m.
Answer: A
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Rob and David live 200 miles apart. Deciding to have a picnic, they both start driving at 9:00 a.m., traveling in a
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Solution:M7MBA wrote: ↑Thu Oct 29, 2020 12:42 pmRob and David live 200 miles apart. Deciding to have a picnic, they both start driving at 9:00 a.m., traveling in a straight line towards each other. Rob drives at a steady speed of 50 miles per hour, and David drives at a steady speed of 30 miles per hour. What is the time when they meet for their picnic?
A. 11:30 a.m.
B. 1:00 p.m.
C. 1:30 p.m.
D. 2:00 p.m.
E. 3:40 p.m.
Answer: A
We can let t = the driving time for both Rob and David since they each depart at 9:00 am. The total distance they will travel is 200 miles, so we have the equation:
50t + 30t = 200
80t = 200
t = 2.5
We see that 2.5 hours is 2 hours 30 minutes, so they will meet at 11:30 am.
Answer: A
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