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The ‘moving walkway’ is a 300-foot long conveyor . . .

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The ‘moving walkway’ is a 300-foot long conveyor . . .

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The ‘moving walkway’ is a 300-foot long conveyor belt that moves continuously at 3 feet per second. When Bill steps on the walkway, a group of people that are also on the walkway stands 120 feet in front of him. He walks toward the group at a combined rate (including both walkway and foot speed) of 6 feet per second, reaches the group of people, and then remains stationary until the walkway ends. What is Bill’s average rate of movement for his trip along the moving walkway?

A) 2 feet per second
B) 2.5 feet per second
C) 3 feet per second
D) 4 feet per second
E) 5 feet per second

The OA is the option E.

I didn't know how to solve this PS question. Experts, may you help me? What is the equation I should use?

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The ‘moving walkway’ is a 300-foot long conveyor belt that moves continuously at 3 feet per second. When Bill steps on the walkway, a group of people that are also on the walkway stands 120 feet in front of him. He walks toward the group at a combined rate (including both walkway and foot speed) of 6 feet per second, reaches the group of people, and then remains stationary until the walkway ends. What is Bill’s average rate of movement for his trip along the moving walkway?

A) 2 feet per second
B) 2.5 feet per second
C) 3 feet per second
D) 4 feet per second
E) 5 feet per second

The OA is the option E.

I didn't know how to solve this PS question. Experts, may you help me? What is the equation I should use?
Hi M7MBA,
Let's take a look at your question.

Time Bill takes to reach the group = Distance / Speed = 120/6 = 20 sec
During these 20 seconds the group of people covered some distance at a speed of belt i.e. 3 feet per second. To calculate that distance:
Distance = Speed * Time
Distance = 3 * 20 = 60 feet

Now, we can calculate the remaining distance to cover on the moving walk away.
Remaining distance = 300 - 120 - 60 = 120 feet

Time taken to cover the last 120 feet at 3 feet per second (because every remains stationary)
Time = Distance / Speed = 120/3 = 40 sec

Total Distance = 300 feet
Total Time spent = 20 + 40 = 60 sec

Now we can find Bill's average rate of movement using formula:
Average rate of movement = Total Distance / Total Time
Average rate of movement = 300/60 = 5 feet per second

Therefore, Option E is correct.

Hope it helps.
I am available if you'd like any follow up.

_________________
GMAT Prep From The Economist
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