Question

I need help on these questions pls answer asap 1.) A 1 km long train is travelling at 30km/h. If the train enters a tunnel that is 1 km long, how much time will it take for the train to clear the tunnel? 2.)The two top NBA players played a basketball game against the RSM team. Together the NBA players made 85 baskets, scoring one point for free throws and two or three points for field goals. They scored a total of 184 points during the game. If they made 22 free throws, how many three-point field goals did they make?

Answer 1

Answer:

1. The train is will cross the tunnel in 2 minutes.

The train is traveling at 30 km every hour or 60 minutes, so it will move 1 km every 60/30 minutes, or every 2 minutes.

2. Explanation here first: 22 free throws means 22 points and 22 field goals.

184-22=162 points they still needed to get, and

85-22=63 goals they still needed to score

We can now use a system of equations, (where x is 3-point goals, and y is 2-point goals) to solve the problem:

3x+2y=162

x+y=63 (-2)

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3x+2y=162

-2x-2y= -126

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x=36, and y=27 so the NBA players got 36 3-point goals, and 27 2-point goals

We can check this:

(36*3) + (27*2) + 22 = 108+54+22 = 184 total points

Step-by-step explanation:

Hope this helps!