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# Three trucks, A, B, C, working together, can move a load of

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Manager
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Three trucks, A, B, C, working together, can move a load of [#permalink]  08 Jan 2005, 19:50
Three trucks, A, B, C, working together, can move a load of sand in t hours. When working alone, it takes A 1 extra hour to move the sand; B, 6 extra hours, and C, t extra hours. Find t.
Manager
Joined: 17 Dec 2004
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Kudos [?]: 0 [0], given: 0

1/(t+1) + 1/(t+6) + 1/(t+t) = 1/t

1/(t+1) + 1/(t+6) = 1/2t

(2t+7)/(t+1)(t+6) = 1/2t

solving 3t^2 + 7t - 6 = 0

solving t = -3 or t = 2/3 hrs

since it cannot be negative 2/3 * 60 = 40 mins is the answer
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