Curtis can unload a truckload of hay in 30 minutes, but it takes Ronnie 40 minutes to do the same. Working together, how many minutes will it take them to unload 35 truckloads of hay?

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Answer 1 · 2017-08-05T20:35:02

10 hours or 600 mins.

# t( 1/30 + 1/40) = 1#

t equal the time it takes for the two working together to unload one truckload of hay.

multiplying to find a common denominator.

# t( 4/120 + 3/120 ) = 1 #

multiply both sides by 120 and divide by 7

# t ( 7/120) = 1 #

# t xx 7/120 xx 120/7 = 1 xx 120/7#

#t = 120/7# The time for one truckload of hay.

# 35 xx 120/7 = T# Where T is the total time for 35 truckloads.

# 600 = T# So the total time is 600 mins. dividing by 60 min/hr

10 = T So the total time is 10 hours.