If a major freeway with four lanes of traffic in one direction passes four cars per second at 100 km per hour during the rush period, and each car carries two people, how often would a commuter train of five cars carrying 100 passengers per car have to be operated to handle the same load

A commuter train of 5 cars carrying 100 passengers per car must be operated every 62.5 seconds to handle the same amount of load on the freeway.

Step-by-step explanation:

The freeway allows 4 cars/second and there are 2 people/car, which means

4 cars/second x 2 people/car = 8 people/second pass through the freeway.

A commuter train has 5 cars with 100 people/car so, there are:

5 x 100 = 500 people in the train.

To handle the same load of 8 people/second, the freeway must pass these 500 people in:

8 people 1 second

500 people x seconds

By cross multiplying, we get:

8x = 500

x = 62.5 seconds

A commuter train of 5 cars carrying 100 passengers per car must be operated every 62.5 seconds to handle the same amount of load on the freeway.

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