Answer:
5. c. Every 1 hour
6. c. 4 times
7. b. 3 times
Step-by-step explanation:
The given parameters of the rate of departure of the two vans are;
The rate of departure of Smasher Van bound for Koronadal City = Every 15 minutes
The rate of departure of Nustafa Van= Every 20 minutes
5. The time, 'x', when the two vans leave at the same time is given by the Lowest Common Multiple (LCM) of 15 and 20 as follows;
Multiples of 15 = 15, 30, 45, 60
Multiples of 20 = 20, 40, 60
Therefore, the LCM of 15 and 20 = 60
The time, when the two vans leave at the same time = Every 60 minutes = Every 1 hour
The time, when the two vans leave at the same time = Every 1 hour
6. The number of times the Smasher Van leaves Polomolok so that the two vans leave together is given by the number of multiples 15 minutes in 60 minutes = 60 minutes/(15 minutes) = 4 times
7. The number of times the Nustafa Van leaves Polomolok so that the two vans leave together is given by the number of multiples 20 minutes in 60 minutes = 60 minutes/(20 minutes) = 3 times.
5. c. Every 1 hour
6. c. 4 times
7. b. 3 times
Let's solve it one by one:
The given parameters of the rate of departure of the two vans are;
The rate of departure of Smasher Van bound for Koronadal City = Every 15 minutes
The rate of departure of Nustafa Van= Every 20 minutes
5. The time, 'x', when the two vans leave at the same time is given by the Least Common Multiple (LCM) of 15 and 20 as follows;
Multiples of 15 = 15, 30, 45, 60
Multiples of 20 = 20, 40, 60
Therefore, the LCM of 15 and 20 = 60
The time, when the two vans leave at the same time = Every 60 minutes = Every 1 hour
The time, when the two vans leave at the same time = Every 1 hour
6. The number of times the Smasher Van leaves Polomolok so that the two vans leave together is given by the number of multiples 15 minutes in 60 minutes = [tex]\frac{60}{15}=4\text{times}[/tex]
7. The number of times the Nustafa Van leaves Polomolok so that the two vans leave together is given by the number of multiples 20 minutes in 60 minutes = [tex]\frac{60}{30}=3\text{times}[/tex]
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