If two planes leave the same airport at 1:00 PM, how many miles apart will they be at 3:00 PM if one travels directly north at 150 mph and the other travels directly west at 200 mph?

N ^ | | | Plane 1 | Plane 2 (150 mph) | (200 mph) W<———O———>E | | | | S Let’s assume that the planes are at the same airport (point O) at 1:00 PM, and we want to find the distance between them at 3:00 PM (2 hours later). Plane 1 is traveling …

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If Sam can do a job in 4 days that Lisa can do in 6 days and Tom can do in 2 days, how long would the job take if Sam, Liza and Tom work together to complete it?

Let’s first calculate the amount of work each person can do in one day: Sam can do 1/4 of the job in one day (since he can complete the whole job in 4 days). Lisa can do 1/6 of the job in one day (since she can complete the whole job in 6 days). Tom …

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