Fred can mow a lawn in 60 minutes. Bullwinkle can mow the same lawn in 90 minutes. How long does it take for both Fred and Bullwinkle to mow the lawn if they are working together?
Question
Answer:
Let x=time required to mow the lawn if both work together
Then both work at the rate of 1/x lawn per min
fred works at the rate of 1/60 x
Bullwinkle at the rate of 1/90 x
1/60 + 1/90 = 3/180 + 2/180 = 5/180 = 1/36
rate of 1/x lawn per min so 1/36 =1/x
x= 36 min
fred mow 1/60 x = 1/60x36 =36/60= 9/15 of the lawn
Bullwinkle mow 1/90 x 36 = 36/90 = 6/15 of the lawn
solved
general
10 months ago
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