9. A school starts at 8 a.m. and gets over at 1.30 p.m. During the school time, it there are two
breaks of 15 minutes and 30 minutes, respectively, find the ratio of the break time to the
total time the students spend in the school.
Answers
Given :
- School starts = 8 a.m
- Gets over at = 1.30 p.m
- Breaks = 15 minutes and 30 minutes
To find :
- the ratio of the break time to the total time the students spend in the school.
Solution :
⇒ Let's find total-time students spend in school. And we have to convert it to minutes.
8 am to 1.30 pm = 5 hours 30 minutes
From hours to minutes = 5 × 60 + 30
= 300 + 30
= 330 minutes
⇒ Now, let's add the break time together.
= 15 + 30 minutes
= 45 minutes
⇒ Now, let's find the ratio of the break time to the total time the students spend in the school.
- Common factors of 330 and 45 are 3,5.
= 330 ÷ 3/45 ÷ 3
- Common factors of 110 and 5 are 5.
= 110 ÷ 5/15 ÷ 5
- Since there are no common factors for 22 and 3, we cannot simplfy it any further.
= 22/3
= 22 : 3
Therefore, the ratio is 22 : 3.
Answer:Given :
School starts = 8 a.m
Gets over at = 1.30 p.m
Breaks = 15 minutes and 30 minutes
To find :
the ratio of the break time to the total time the students spend in the school.
Solution :
⇒ Let's find total-time students spend in school. And we have to convert it to minutes.
8 am to 1.30 pm = 5 hours 30 minutes
From hours to minutes = 5 × 60 + 30
= 300 + 30
= 330 minutes
⇒ Now, let's add the break time together.
= 15 + 30 minutes
= 45 minutes
⇒ Now, let's find the ratio of the break time to the total time the students spend in the school.
Common factors of 330 and 45 are 3,5.
= 330 ÷ 3/45 ÷ 3
Common factors of 110 and 5 are 5.
= 110 ÷ 5/15 ÷ 5
Since there are no common factors for 22 and 3, we cannot simplfy it any further.
= 22/3
= 22 : 3
Step-by-step explanation:Given :
School starts = 8 a.m
Gets over at = 1.30 p.m
Breaks = 15 minutes and 30 minutes
To find :
the ratio of the break time to the total time the students spend in the school.
Solution :
⇒ Let's find total-time students spend in school. And we have to convert it to minutes.
8 am to 1.30 pm = 5 hours 30 minutes
From hours to minutes = 5 × 60 + 30
= 300 + 30
= 330 minutes
⇒ Now, let's add the break time together.
= 15 + 30 minutes
= 45 minutes
⇒ Now, let's find the ratio of the break time to the total time the students spend in the school.
Common factors of 330 and 45 are 3,5.
= 330 ÷ 3/45 ÷ 3
Common factors of 110 and 5 are 5.
= 110 ÷ 5/15 ÷ 5
Since there are no common factors for 22 and 3, we cannot simplfy it any further.
= 22/3
= 22 : 3