DAY 345

Haretown and Tortoiseville are 27 miles apart. The hare can run 7 mph and the tortoise can walk 2 mph. If they both start out together from their respective homes and run/walk toward each other, how many miles will the hare have traveled when they meet?

Answer:

21 miles ............ The hare and the tortoise are moving toward each other at a combined speed of 9 mph (7+2). It will take 3 hours for both of them to cover the 27 miles (27/9 = 3). In 3 hours the hare will have run 21 miles, and the tortoise will have walked 6 miles.

DAY 344

Jones is 28 years older than his son. In 11 years, he will be 3 times as old as his son. How old are Jones and his son today?

Answer:

Jones is 31 and his son is 3.

Let x = the son's age and (x+28) = Jones' age

3(x+11) = (x+28)+11

DAY 343

Joe King divided up his coin collection as follows:

1/2 to Hal Apenyo

1/4 to Ann Arky

1/5 to Ray Beeze

49 coins to Zoe Zumi

How many coins were in Joe's collection?

Answer:

980

DAY 342

Without using 8, write an equation using the same digit three times to equal 24.

Answer:

22 + 2 = 24

DAY 341

This problem can be solved with a simple mental calculation:

If it takes you 2 minutes 13 seconds to run one lap around a track, how long will it take you to run 60 laps (assuming you maintain the same speed)?

Answer:

2 hours 13 minutes

Any number of minutes X 60 will be that many hours.
Any number of seconds  X 60 will be that many minutes.

DAY 340

Bob can wash a car in 8 minutes. Joe can wash the same car in 12 minutes. How long will it take to wash the car if Bob and Joe work together?

Answer:

4 minutes 48 seconds .......... In one minute, Bob can wash 1/8 of the car and Joe can wash 1/12 of it. Together, they can wash 5/24 of the car in one minute. This means they can wash the whole car in 24/5 minutes or 4.8 minutes.

DAY 339

Six times my age six years from now plus seven times my age seven years from now will equal fourteen times my current age. How old am I?

Answer:

85 .......... 6(x + 6) + 7(x + 7) = 14x