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Three men, A, B, C together fill a pit in 1 ½ hours throwing in respectively 8, 10 and 12 equal shovelfuls of earth per minute. How many minutes, woking alone, could each man have filled up the pit?

A.	450,270,225	B.	337.5, 270,225
C.	187.5,150,125	D.	None of these

Answer and Explanation

Answer:337.5, 270,225

Explanation:
In 1 ½ hours, i.e. 90 min, A throws 8 × 90 = 720 shovels of mud
B throws 10 × 90 = 900 shovels of mud
C throws 12 × 90 = 1080 shovels of mud
Total shovels of mud thrown in 90 min = 720 + 900 + 1080 = 2700
Time that A alone require = 2700/8 = 337.5 min
Time that B alone requires 2700/10 = 270 min.
Time that C alone requires = 2700/12 = 225 min.

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