In a competition, 5 people can finish 20 steamed buns in 3 minutes 20 seconds. Assuming that everyone consumes steamed buns at the same rate and that the rate of consumption remains constant throughout the competition, find the number of steamed buns 10 people can finish in 5 minutes.
Answers
Answer:
Number of steamed buns 10 people can finish in 5 mins = 60
Step-by-step explanation:
5 People can finish 20 steamed buns in 3mins 20 seconds.
Rate of consumption is same for every participant
Steamed buns consumed by single person in 3 min 20 sec will be = 20 /5 = 4
∴ One person will consume 4 steamed buns in 3 mins 20 sec
∴ Time required for single person to consume one single steamed bun will be
T = (3 min 20 sec) / 4
∴ T = (3 × 60 sec + 20 sec) / 4
∴ T = 50 sec
∴ Time required by single person to consume one bun = 50 sec ... (1)
Lets find number of buns consumed by one person in 1 min
Number of buns = 1 min / time for consumption of 1 bun = 60/50
Number of bun / min/person (n) = 1.2 nos ...(2)
To find number of buns consumed by 10 people in 5 mins
N = n × number of people × time on mins
N = 1.2 × 10 × 5
N = 60
∴ Number of steamed buns 10 people can finish in 5 mins = 60