Two machines X and Y can produce three different types of spare parts A, B and C for motor vehicles. X can
produce 1, 4 and 3 units of A, B and C respectively in one hour while Y takes 1/2, 3/8, and 1/8 hour respectively to
produce one unit of A, B and C respectively. Each machine can produce only one part at a time. Machines X and Y
together worked for a total of 40 hours but at any and produced 180 units of C. At any given point of time, only one
of the two machines work. For how many hours did machine X work?
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28 hrs
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