Answer:
[tex]1\ \text{hour}\ 25\ \text{minutes and }12\ \text{seconds}[/tex]
Step-by-step explanation:
The combined distance that both planes will cover is 200 miles
Time taken by both planes will be the same (t)
[tex]\text{Distance}=\text{Speed}\times \text{Time}[/tex]
So, the combined distance is
[tex]40t+100t=200\\\Rightarrow 140t=200\\\Rightarrow t=\dfrac{200}{140}\\\Rightarrow t=1.42\ \text{hours}=1\ \text{hour}\ 25\ \text{minutes and }12\ \text{seconds}[/tex]
They will meet in [tex]1\ \text{hour}\ 25\ \text{minutes and }12\ \text{seconds}[/tex].
Answer: 10/7 hrs
Step-by-step explanation:
Step 1 of 5:Let’s organize the given information. Fill in the Rate column :
Rate (mph) Time (h) Distance (mi)
1st plane 40
2nd plane 100
Step 2 of 5:Let x hours be the time it will take them to meet. Complete the chart using the formula : Distance= Rate x Time :
Rate (mph) Time (h) Distance (mi)
1st plane 40 x
2nd plane 100 x
Step 3 of 5:We know that the distance between the planes was 200 miles.
Use this to make an equation : 40x+100x=200
.
Step 4 of 5:Solve the equation : 10/7
Step 5 of 5:Read the problem and answer the question in the problem.
It will take them
hours. 10/7 hrs
