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Answer this with great detail and answer as correct and get the brainliest.

At 11:00 AM a bus left San Jose traveling to Los Angeles at 48 mph. Four hours later a motorcyclist started moving in the same direction from the same place at 72 mph. At what time the motorcycle will catch up to the bus?

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Answer:

11 PM

Step-by-step explanation:

Since bus is going at 48 and motorcyclist going at 72, the motorcyclist will catch up the bus by 72 - 48 = 24 miles an hour

Also, since motorcyclist left 4 hours after the bus, the bus is already ahead by 48 * 4 = 192 miles

So how long will the motorcylicst take to catch up 192 miles at 24 miles catch-up an hour?

192/24 = 8 hours

To find time:

Motorcylist started 4 hours after 11 AM, so his time of starting is 3PM. Then it will take him 8 hours, so that is 11PM

Hence, at 11pm he will catch up to the bus.

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