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

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08 Jan 2005, 19:50
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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.
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09 Jan 2005, 05:48
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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Wish you all good luck
Bhimsen Joshi

09 Jan 2005, 05:48
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