8 people solve 24 problems in 24 minutes
8 people solve 1 problem in 1 minute
16 people solve 2 problems in 1 minute
16 people solve 32 problems in 16 minutes
or,
8 people solve 1 problem in 1 minute
8 people solve 32 problems in 32 minutes
if you want to solve 32 problems in 16 minutes (1/2 the time), you need twice as many people, or 16 people