how long would it take the man by himself

Question

a man and his assistant can rake the sand on a volleyball court together in 24 minutes. If his assistant could do it alone in 1 hour, how many minutes would it take for the man to rake the court by himsel

Answer 1

The man and his assistant can rake the sand on the court together in 24 minutes.

• 24 minutes/60 (minutes/hour) = 0.40 hour

1. The assistant's rate is 1 court in 1 hour, or 1/1 court per hour where the (1) in the demonminator represents time 1 hour.
2. The man's rate is unknown so let it represent a rate of 1/m where (m) represents the time.
3. Combined their rate is 1/(0.40).

Equate the rates and solve for (m) the man's rate.

• 1/1 + 1/m = 1/0.40
• 1/m = 1/0.40 - 1/1 = 1.5
• m = 0.67 hours = 40 minutes.  Answer