Question 522890: I don't know how to figure this out. "My little brother left 2 minutes ago on his bike to ride with his friends to the cemetery. If he pedals at 5 mph to the cemetery, which is 1 mile from here, and I go the back way (2.5 miles) so he doesn't see the car, how fast do I have to drive Mom's car to get there at least a full minute ahead of him so I can hide and scare him?
I know the brother needs 12 minutes to go a mile, and he left 2 minutes ago, so he has 10 minutes to go.
I know the car driver needs to be there in 9 minutes. That makes 3.6 minutes a mile. What do I do from here?
Thank you!
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! My little brother left 2 minutes ago on his bike to ride with his friends to the cemetery. If he pedals at 5 mph to the cemetery, which is 1 mile from here, and I go the back way (2.5 miles) so he doesn't see the car, how fast do I have to drive Mom's car to get there at least a full minute ahead of him so I can hide and scare him?
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Brother DATA:
rate = 5 mph ; distance = 1 miles ; time = d/r = 1/5 = 12 minutes
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You DATA:
distance = 2.5 miles ; time = 11 minutes ; rate = d/t = 2.5/11 miles/min
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11 min = 11/60 hr = 0.1833 hr
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2.5/11 (miles/min) = 2.5/0.1833 = 13.64 miles/hr
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Cheers,
Stan H.
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