The ratio of freshman to sophomores to juniors to seniors in band is 1:2:3:2. If there are a total of 240 students in band, how
1 answer:
Answer : Each grade level will be 30,60,90,30 respectively.
Explanation:
Since we have given that ratio of freshman to sophomores to juniors to seniors in band is 1:2:3:2
Let the number of fresh man be x
Let the number of sophomores be 2x
Let the number of juniors be 3x
Let the number of seniors be 2x
According to question,
x+2x+3x+2x=240
⇒8x=240
⇒x=
⇒x=30
So, the required number of freshman is 30
Number of sophomores is 2×30=60
Number of juniors is 3×30=90
Number of seniors is 2×30=60
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Answer:
a) The trains will be 1520 km apart at 2:40 pm for the cargo train and at 4:40 pm for the passenger train.
b) At that time the cargo train has traveled 560.04 km and the passenger train has traveled 960.12 km.
Step-by-step explanation:
a) First, we need to find the distance traveled by the cargo train in the two hours before the passenger train leaves Chicago:
Now, we can find the time when the trains will be 1520 km apart:
Where 1 is for the cargo train and 2 is for the passenger train.
Since we need to calculate the time when the trains are 1520 km apart, t₁ = t₂, so:
For the cargo train, it will be 1520 km apart from the passenger train at:
And for a passenger train, it will be 1520 km apart from the cargo train at:
Hence, the trains will be 1520 km apart at 2:40 pm for the cargo train and at 4:40 pm for the passenger train.
b) The distance traveled by both trains is given by:
Therefore, at that time the cargo train has traveled 560.04 km and the passenger train has traveled 960.12 km.
I hope it helps you!