Question

Machine a produces bolts at a uniform rate of 120 every 40 second, and machine b produces bolts at a uniform rate of 100 every 20 seconds. If the two machines run simultaneously, how many seconds will it take for them to produce a total of 200 bolts

Answer 1

Given Machine a produces bolts at a uniform rate of 120 every 40 second, and machine b produces bolts at a uniform rate of 100 every 20 seconds. If the two machines run simultaneously, how many seconds will it take for them to produce a total of 200 bolts

120/40 = 3 bolts per second machine a produces

100/20 = 5 bolts per second machine b produces

Both machine produce 3 + 5 = 8 bolts running simultaneously per second.

Machine produces 8 bolts for one second

For 200 bolts the time taken is 200 /8 = 25 seconds

The machine takes 25 seconds to produce 200 bolts