### Brain Teasers

# Collins Market

Cassidy, Gabriella, Keinan, Ross, and Shaun all plan to meet in front of the Collins Market at 11 a.m. They will each be coming from a different direction. Except for Shaun, they each will go directly to the market.

Cassidy lives 2.5 miles from the market. She can walk one mile in 20 minutes.

Gabriella will ride her bike. She lives twice as far from the store as Cassidy. She rides at 10 mph.

Though Keinan lives 1 mile closer to the store than Cassidy, he must walk up a hill, so he walks at a rate of about 2 mph.

Ross also rides his bike, but it will take him 1.5 times as long to get to the store as Gabriella.

Shaun will ride his bike the 10 miles from his home. He rides 5 mph faster than Gabriella, but plans to stop at the library on the way for 15 minutes.

If no one allows any extra time, what time must each person leave home to get to the market at 11 a.m.?

Cassidy lives 2.5 miles from the market. She can walk one mile in 20 minutes.

Gabriella will ride her bike. She lives twice as far from the store as Cassidy. She rides at 10 mph.

Though Keinan lives 1 mile closer to the store than Cassidy, he must walk up a hill, so he walks at a rate of about 2 mph.

Ross also rides his bike, but it will take him 1.5 times as long to get to the store as Gabriella.

Shaun will ride his bike the 10 miles from his home. He rides 5 mph faster than Gabriella, but plans to stop at the library on the way for 15 minutes.

If no one allows any extra time, what time must each person leave home to get to the market at 11 a.m.?

### Hint

Make a chart. Use the formula distance = rate x time. Be sure you are using the same units for everyone, and for all parts of the formula.### Answer

Cassidy must leave at 10:10.Gabriella must leave at 10:30.

Keinan must leave at 10:15.

Ross must leave at 10:15.

Shaun must leave at 10:05.

Explanation:

Cassidy needs 50 minutes to go 2.5 miles, so she must leave at 10:10.

Gabriella needs 30 minutes to go 5 miles, so she must leave at 10:30.

Keinan needs 45 minutes to go 1.5 miles, so he must leave at 10:15.

Ross will take one and a half times as long to get to the store as Gabriella. Since it will take her 30 minutes, it will take him one and a half times as long, or 45 minutes. He must leave at 10:15. (Enough information is given so that it is not necessary to know the distance.)

Shaun needs a total of 55 minutes. (This includes 40 minutes to bike, plus 15 minutes for the stop at the library.) He must leave at 10:05.

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