Olivia can type a report in 2 hours thus her rate is 1/2 reports per hour

John takes 3 hours thus his rate is 1/3 reports per hour

Let x = the hours they need to type a report together thus the together rate is 1/x reports per hour

1/2 + 1/3 = 1/x

by solving we find

x = 1.2 hr

x = 1 hr 12 min

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it will take 1 hr 12 min to type up the report together.