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two groups of friends are taking taxis to a party in yardley. the first taxi leaves from the financial district and travels at 33 miles per hour. at the same time, the other taxi leaves from the marina and travels 45 miles per hour. the two taxis are 5 miles apart and heading directly toward each other. how much time will it take for the taxis meet?

Respuesta :

sqdancefan

Answer:

  3.85 minutes

Step-by-step explanation:

You want to know the time it takes for taxis traveling 33 mph and 45 mph toward each other to meet if they start 5 miles apart.

Closing time

The speed at which the taxis approach each other is (33 mph +45 mph) = 78 mph. The time it takes to close the 5-mile gap is ...

  time = distance/speed

  time = (5 mi)/(78 mi/h) = 5/78 h ≈ 0.0641 h

In minutes, the time is ...

  (5/78 h)(60 min/h) = 300/78 min ≈ 3.85 minutes

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Additional comment

That's about 3 minutes 50.8 seconds.

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