A. 1 hour

B. 1 hour and 20 minutes

C. 1 hour and 40 minutes

D. 2 hours

E. 2 hours and 20 minutes

The OA is C

**Source: Manhattan Prep**

00:00

**A**

**B**

**C**

**D**

**E**

A gang of criminals hijacked a train heading due south. At exactly the same time, a police car located 50 miles north of the train started driving south toward the train on an adjacent roadway parallel to the train track. If the train traveled at a constant rate of 50 miles per hour, and the police car traveled at a constant rate of 80 miles per hour, how long after the hijacked did the police car catch up with the train?

A. 1 hour

B. 1 hour and 20 minutes

C. 1 hour and 40 minutes

D. 2 hours

E. 2 hours and 20 minutes

The OA is C

**Source: Manhattan Prep**

A. 1 hour

B. 1 hour and 20 minutes

C. 1 hour and 40 minutes

D. 2 hours

E. 2 hours and 20 minutes

The OA is C

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This is a shrinking gap question.swerve wrote: ↑Thu Apr 15, 2021 4:52 amA gang of criminals hijacked a train heading due south. At exactly the same time, a police car located 50 miles north of the train started driving south toward the train on an adjacent roadway parallel to the train track. If the train traveled at a constant rate of 50 miles per hour, and the police car traveled at a constant rate of 80 miles per hour, how long after the hijacked did the police car catch up with the train?

A. 1 hour

B. 1 hour and 20 minutes

C. 1 hour and 40 minutes

D. 2 hours

E. 2 hours and 20 minutes

The OA is C

Source: Manhattan Prep

Train's speed = 50 miles per hour

Police card's speed = 80 miles per hour

80 miles per hour - 50 miles per hour =

So, the gap between the train and the police car DECREASES at a rate of

Original gap (aka distance) = 50 miles

Time = distance/rate

So, time to close gap = 50/

= 5/3 hours

= 1 2/3 hours

= 1 hour and 40 minutes

Answer: C

Cheers,

Brent