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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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Rob and David live 200 miles apart. Deciding to have a picnic, they both start driving at 9:00 a.m., traveling in a...

by BTGmoderatorLU » Sat Aug 08, 2020 5:49 am

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Source: Princeton Review

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.

The OA is A
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Re: Rob and David live 200 miles apart. Deciding to have a picnic, they both start driving at 9:00 a.m., traveling in a.

by Scott@TargetTestPrep » Tue Aug 18, 2020 10:25 am
BTGmoderatorLU wrote: ↑
Sat Aug 08, 2020 5:49 am
 Source: Princeton Review

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.

The OA is A
Solution:

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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Re: Rob and David live 200 miles apart. Deciding to have a picnic, they both start driving at 9:00 a.m., traveling in a.

by swerve » Tue Aug 18, 2020 12:37 pm
BTGmoderatorLU wrote: ↑
Sat Aug 08, 2020 5:49 am
 Source: Princeton Review

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.

The OA is A
The total distance covered by both when they meet equals 200.

Assume time to be '\(t\)'

\(50t + 30t =200\)

\(t=2.5\) hours

They will meet \(2.5\) hours after \(9\) am \(= 11.30\) am
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