One family wants to get through a tunnel. Dad can make it in 1 minute, mom in 2 minutes, son in 4, and daughter in 5 minutes. Unfortunately, not more than two persons can go through the narrow tunnel at one time, moving at the speed of the slower one. Can they all make it to the other side if they have a torch that lasts only 12 minutes and they are afraid of the dark?! The torch must go through the tunnel every time!

1st pass, the father and mother go together (2 minutes)

2nd pass, the father goes back (1 minute)

3rd pass, the son and daughter go together (5 minutes)

4th pass, the mother goes back (2 minutes)

5th and final pass, the father and mother go together (2 minutes)

Step-by-step explanation:

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1st pass, the father and mother go together (2 minutes)

2nd pass, the father goes back (1 minute)

3rd pass, the son and daughter go together (5 minutes)

4th pass, the mother goes back (2 minutes)

5th and final pass, the father and mother go together (2 minutes)

Step-by-step explanation:

45

step-by-step explanation:

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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step-by-step explanation: