Abus leaves los angeles at 8am moving northeast at 60 mph. three hours later, a truck leaves the same place traveling 1 2/3 times faster than the bus on the same route. how long will it take for the truck to catch up the bus?

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7.5 hours

Step-by-step explanation:

Using the variable 't' for time, you can set up an equation to find out how long it will take the truck to catch up to the  bus.  Since the bus is traveling at 60mph and the truck is traveling 1 2/3 times faster, we need to first find the rate of the truck:

1

Using 't' and the knowledge that they will have traveled the same distance we the truck catches up to the bus and the fact that the truck left 3 hours later:

60t = 100(t - 3)  or 60t = 100t - 300

Solve for 't':  60t - 100t = -300 or -40t = -300  so, t = 7.5 hours

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