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Q. A train leaves Station A and travels at a speed of 80 km/h. Another train leaves Station B, which is 300 km away from Station A, and travels towards Station A at a speed of 60 km/h. How far from Station A do the two trains meet?
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[tex]{}{\color{red}{\underline{\rule{50pt}{2pt}}}↓question↓}{\color{Hotpink}{\underline{\rule{50pt}{3pt}}}}[/tex]
Q. A train leaves Station A and travels at a speed of 80 km/h. Another train leaves Station B, which is 300 km away from Station A, and travels towards Station A at a speed of 60 km/h. How far from Station A do the two trains meet?
[tex]{}{\color{Hotpink}{\underline{\rule{50pt}{2pt}}}↑question↑}{\color{red}{\underline{\rule{50pt}{3pt}}}}[/tex]
[tex]\blue{\rule{172pt}{6pt}}[/tex]
→ᴇxᴘᴇᴄᴛɪɴɢ ᴀɴsᴡᴇʀ ғʀᴏᴍ ☟
★ Moderators
✰ Brainly stars and teacher
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and good morning friends
[tex]\blue{\rule{172pt}{6pt}}[/tex]
[tex] \colorbox{pink}{\purple{ⓣⓗⓐⓝⓚⓢ ✨ }}[/tex]
Answers & Comments
Answer:
To find the distance from Station A where the two trains meet, we can use the concept of relative speed.
Let's assume that the two trains meet after time 't' hours.
In 't' hours, the first train traveling at 80 km/h would have covered a distance of 80t km from Station A.
Similarly, the second train traveling at 60 km/h would have covered a distance of 60t km from Station B towards Station A.
Since the total distance between the two stations is 300 km, we can set up the following equation:
80t + 60t = 300
Combining like terms, we have:
140t = 300
Dividing both sides by 140:
t = 300/140 ≈ 2.14 hours
Now we can find the distance from Station A where the two trains meet:
Distance = Speed × Time
Distance = 80 km/h × 2.14 h ≈ 171.2 km
Therefore, the two trains will meet approximately 171.2 km away from Station A.
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