Problem 2. Smasher Van bound for Koronadal City leaves Polomolok every 15 minutes while Nustafa Van leaves every 20 minutes.
5. How often do the two vans leave Polomolok at the same time
a. every 30 minutes
c. every 1 hour
b. every 40 minutes
d. every 2 hours
6. How many times will the Smasher Van leave Polomolok so that the two von leave
together
a. 2 times b. 3 times c. 4 times d. 5 times
7. How many times will the Nustafa Van leave Polomolok so that the two vons leave
together
a. 2 times b. 3 times c. 4 times d. 5 times​

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.

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